quadratic equation questions homework

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Quadratic equation questions homework

Find the length of the sides. Problem 5 :. The sides of an equilateral triangle are shortened by 12 units, 13 units and 14 units respectively and a right angle triangle is formed. Find the length of each side of the equilateral triangle.

Solution :. Problem 2 :. Let "x" be the length of the given rod. Cost of one meter of the given rod is. Cost of one meter of the rod which is 2 meter shorter is. Because length can not be a negative number, we can ignore "- 10". So, the length of the given rod is 12 m. Let "x" be one of the parts of Then the other part is 25 - x. Then, we have. Using Pythagorean theorem, we have. Subtract from both sides. Divide both sides by 2. Because length can not be negative.

So, the other two sides of the triangle are 12 cm and 16 cm. Let "x" be the length of each side of the equilateral triangle. Then, the sides of the right angle triangle are. In the above three sides, the side represented by x - 12 is hypotenuse Because that is the longest side.

So, the length of each side of the equilateral triangle is 17 units. Apart from the problems given above, if you need more word problems on quadratic equations. Please click here. Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here. If you have any feedback about our math content, please mail us :. We always appreciate your feedback. You can also visit the following web pages on different stuff in math.

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All sin tan cos rule. Trigonometric ratios of some negative angles. Trigonometric ratios of 90 degree minus theta. Trigonometric ratios of 90 degree plus theta. Trigonometric ratios of degree plus theta. Trigonometric ratios of degree minus theta. Trigonometric ratios of angles greater than or equal to degree. Trigonometric ratios of complementary angles. Trigonometric ratios of supplementary angles. Trigonometric identities. Problems on trigonometric identities.

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Quadratic equations word problems worksheet. Integers and absolute value worksheets. Decimal place value worksheets. Distributive property of multiplication worksheet - I. Distributive property of multiplication worksheet - II. Writing and evaluating expressions worksheet. Nature of the roots of a quadratic equation worksheets. Determine if the relationship is proportional worksheet.

Trigonometric ratio table. Problems on trigonometric ratios. Trigonometric ratios of some specific angles. ASTC formula. All silver tea cups. All students take calculus. All sin tan cos rule. Trigonometric ratios of some negative angles. Trigonometric ratios of 90 degree minus theta. Trigonometric ratios of 90 degree plus theta. Trigonometric ratios of degree plus theta. Trigonometric ratios of degree minus theta. Trigonometric ratios of angles greater than or equal to degree.

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Solving word problems in trigonometry. Pythagorean theorem. Mensuration formulas. Area and perimeter. Types of angles. Types of triangles. Properties of triangle. Sum of the angle in a triangle is degree. Properties of parallelogram. Construction of triangles - I. Construction of triangles - II.

Construction of triangles - III. Construction of angles - I. Construction of angles - II. Construction angle bisector. Construction of perpendicular. Construction of perpendicular bisector. Geometry dictionary. Geometry questions. Angle bisector theorem. Basic proportionality theorem. Coordinate geometry formulas. Distance between two points. Different forms equations of straight lines.

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Constant of proportionality. Unitary method direct variation. Unitary method inverse variation. Unitary method time and work. Order of rotational symmetry. Order of rotational symmetry of a circle. Order of rotational symmetry of a square. Lines of symmetry. Converting metric units. Converting customary units. Word problems on simple equations. Word problems on quadratic equations.

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Solving linear equations using substitution method. Solving linear equations using cross multiplication method. Solving one step equations. Solving quadratic equations by factoring. Solving quadratic equations by quadratic formula. Solving quadratic equations by completing square.

Nature of the roots of a quadratic equations. Sum and product of the roots of a quadratic equations. Algebraic identities. Solving absolute value equations. Solving Absolute value inequalities. Graphing absolute value equations. Combining like terms. Square root of polynomials. Remainder theorem. Synthetic division. Logarithmic problems. Simplifying radical expression. Comparing surds.

Simplifying logarithmic expressions. Scientific notations. Exponents and power. Quantitative aptitude. Multiplication tricks. Aptitude test online. Test - I. Test - II. Horizontal translation. Vertical translation. Reflection through x -axis. Reflection through y -axis.

Horizontal expansion and compression. Vertical expansion and compression. Rotation transformation. Geometry transformation. Translation transformation. Dilation transformation matrix. Transformations using matrices. Converting customary units worksheet.

Converting metric units worksheet. Decimal representation worksheets. Double facts worksheets. Missing addend worksheets. Mensuration worksheets. Geometry worksheets. Comparing rates worksheet. Customary units worksheet. Metric units worksheet. Complementary and supplementary worksheet. Complementary and supplementary word problems worksheet. Area and perimeter worksheets. Sum of the angles in a triangle is degree worksheet.

Types of angles worksheet. Properties of parallelogram worksheet. Proving triangle congruence worksheet. Special line segments in triangles worksheet. Proving trigonometric identities worksheet. Properties of triangle worksheet.

Estimating percent worksheets. Quadratic equations word problems worksheet. Integers and absolute value worksheets. Decimal place value worksheets. Distributive property of multiplication worksheet - I. Distributive property of multiplication worksheet - II. Writing and evaluating expressions worksheet. Nature of the roots of a quadratic equation worksheets. Determine if the relationship is proportional worksheet.

Trigonometric ratio table. Problems on trigonometric ratios. Trigonometric ratios of some specific angles. ASTC formula. All silver tea cups. All students take calculus. All sin tan cos rule. Trigonometric ratios of some negative angles. Trigonometric ratios of 90 degree minus theta. Trigonometric ratios of 90 degree plus theta. Trigonometric ratios of degree plus theta.

Trigonometric ratios of degree minus theta. Trigonometric ratios of angles greater than or equal to degree. Trigonometric ratios of complementary angles. Trigonometric ratios of supplementary angles. Trigonometric identities.

Problems on trigonometric identities. Trigonometry heights and distances. Domain and range of trigonometric functions. Domain and range of inverse trigonometric functions. Solving word problems in trigonometry. Pythagorean theorem. Mensuration formulas. Area and perimeter. Types of angles. Types of triangles. Properties of triangle. Sum of the angle in a triangle is degree. Properties of parallelogram. Construction of triangles - I.

Construction of triangles - II. Construction of triangles - III. Construction of angles - I. Construction of angles - II. Construction angle bisector. Construction of perpendicular. Construction of perpendicular bisector. Geometry dictionary. Geometry questions. Angle bisector theorem. Basic proportionality theorem. Coordinate geometry formulas. Distance between two points. Different forms equations of straight lines. Point of intersection. Slope of the line. Perpendicular distance. Area of triangle.

Area of quadrilateral. Matrix Calculators. Coordinate geometry calculators. Statistics calculators. Mensuration calculators. Algebra calculators. Chemistry periodic calculator. Missing addend. Writing and evaluating expressions. Solving linear equations using elimination method. Solving linear equations using substitution method. Solving linear equations using cross multiplication method. Solving one step equations. Solving quadratic equations by factoring.

Solving quadratic equations by quadratic formula. Solving quadratic equations by completing square. Nature of the roots of a quadratic equations. Sum and product of the roots of a quadratic equations. Algebraic identities. Solving absolute value equations. Solving Absolute value inequalities.

Graphing absolute value equations. Combining like terms. Square root of polynomials. Remainder theorem. Synthetic division. Logarithmic problems. Simplifying radical expression. Comparing surds. Simplifying logarithmic expressions. Scientific notations. Exponents and power. Quantitative aptitude. Multiplication tricks. Aptitude test online. Test - I. Test - II. Horizontal translation. Vertical translation. Reflection through x -axis. Reflection through y -axis.

Horizontal expansion and compression. Vertical expansion and compression. Rotation transformation. Geometry transformation. Translation transformation. Dilation transformation matrix. Transformations using matrices. Converting customary units worksheet. Converting metric units worksheet. Decimal representation worksheets. Double facts worksheets. Missing addend worksheets. Mensuration worksheets. Geometry worksheets. Comparing rates worksheet. Customary units worksheet. Metric units worksheet.

Complementary and supplementary worksheet. Complementary and supplementary word problems worksheet. Area and perimeter worksheets. Sum of the angles in a triangle is degree worksheet. Types of angles worksheet. Properties of parallelogram worksheet. Proving triangle congruence worksheet. Special line segments in triangles worksheet. Proving trigonometric identities worksheet. Properties of triangle worksheet. Estimating percent worksheets. Quadratic equations word problems worksheet. Integers and absolute value worksheets.

Decimal place value worksheets. Distributive property of multiplication worksheet - I. Distributive property of multiplication worksheet - II. Writing and evaluating expressions worksheet. Nature of the roots of a quadratic equation worksheets. Determine if the relationship is proportional worksheet. Trigonometric ratio table. Problems on trigonometric ratios. Trigonometric ratios of some specific angles. ASTC formula.

All silver tea cups. All students take calculus. All sin tan cos rule. Trigonometric ratios of some negative angles. Trigonometric ratios of 90 degree minus theta. Trigonometric ratios of 90 degree plus theta. Trigonometric ratios of degree plus theta. Trigonometric ratios of degree minus theta. Trigonometric ratios of angles greater than or equal to degree.

Trigonometric ratios of complementary angles. Trigonometric ratios of supplementary angles. Trigonometric identities. Problems on trigonometric identities. Trigonometry heights and distances. Domain and range of trigonometric functions.

Domain and range of inverse trigonometric functions. Solving word problems in trigonometry. Pythagorean theorem. Mensuration formulas. Area and perimeter. Types of angles. Types of triangles. Properties of triangle. Sum of the angle in a triangle is degree. Properties of parallelogram. Construction of triangles - I. Construction of triangles - II. Construction of triangles - III. Construction of angles - I.

Construction of angles - II. Construction angle bisector. Construction of perpendicular. Construction of perpendicular bisector. Geometry dictionary. Geometry questions. Angle bisector theorem.

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SWBAT Assess the structure of a quadratic equation and then select and carry out a solution strategy factoring, completing the square, or using the Quadratic Formula. Big Idea Its important to be flexible in solving quadratic equations. Some equations lend themselves to factoring or completing the square while others are best tackled with the Quadratic Formula.

Lesson Author. Grade Level. Derive the quadratic formula from this form. MP1 Make sense of problems and persevere in solving them. MP3 Construct viable arguments and critique the reasoning of others. MP5 Use appropriate tools strategically. MP6 Attend to precision. MP7 Look for and make use of structure. Warm-Up 15 minutes. Direct Instruction 20 minutes. Practice and Reinforcement 40 minutes. Exit Ticket and Assignment 15 minutes. Previous Lesson.

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