# Quadratic Function with Word Problem

## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

#### SIGN UP FOR A FREE TRIAL

Quadratic function is a function which contains a quadratic equations. Quadratic means square. The function which has the highest degree for the variable as two is called a quadratic function. So the degree of the polynomial for a quadratic function is always 2. The quadratic function is used to solve many kinds of questions which include word problems. The general form of a quadratic function is written as ax2 + b x + c. Here x is the unknown variable and a. b. c are the constants.

Example 1: Find the two positive numbers where the smaller number is one less than the greater number. The product of the number is 6?

Solution: Let the greater number = x.

This makes the smaller number = x -1.

The product of the two number is x(x - 1) = 6

This gives x2 - x - 6 = 0.

Now factoring the equation gives (x - 3) (x + 2) = 0

The positive value of x = 3

Therefore, the two numbers are 3 and 2 respectively.

Example 2: Find the two positive numbers where the greater number is three more than the smaller number. The product of the number is 10?

Solution: Let the smaller number = x.

This makes the greater number = x + 3.

The product of the two number is x(x + 3) = 10

This gives x2 +3 x - 10 = 0.

Now factoring the equation gives (x + 5) (x - 2) = 0

The positive value of x = 2

Therefore, the two numbers are 2 and 5 respectively.