## Quadratic Equations Word Problems (examples, solutions, videos, worksheets, activities)

Worksheet given in this section is much useful to the students who would like to practice solving word problems on quadratic equation. Difference between a number and its positive square root is Find the number. What is the length of the rod?

Problem 3 :. The hypotenuse of a right angled triangle is 20 cm. The difference between its other two sides is 4 cm. 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 rod which is 2 meter shorter is. Because length can not be a negative number, we can ignore "- 10".

Hence, 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. Hence, 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 solving quadratic equations by factoring word problems represented by x - 12 is hypotenuse Because that is the longest side. Hence, 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. After having gone through the stuff given above, we hope that the students would have understood, how to solve word problems using quadratic equations.

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