Quadratic Function with Word Problem

Quadratic Function with Word Problem 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.