Quadratic Equations - Problems (1)

Using quadratic equations to solve problems; detailed solutions and explanations are included.

Problems with Solutions

Problem 1:

A right triangle has a perimeter of 24 cm and a hypotenuse of 10 cm. Find the sides x and y, x > y, that make the right angle of the triangle.

Solution to Problem 1:

Matched Problem 1:

A rectangle has a perimeter of 60 m and an area of 200 m2. Find the length x and width y, x > y, of the rectangle.

Solutions to Matched Problems


Problem 2:

The sum of the squares of two consecutive real numbers is 61. Find the numbers.

Solution to Problem 2:

Matched Problem 2:

The sum of the squares of two consecutive even real numbers is 52. Find the numbers.

Solutions to Matched Problems



Solutions to Matched Problems

Solution to Matched Problem 1:

Solution to Matched Problem 2:

More References and links

Quadratic Functions Problems with Solutions
Parabola Questions and Problems with Detailed Solutions
Solve Quadratic Equations Using Discriminants
Solve Equations, Systems of Equations and Inequalities.