Chapter 12.5, Problem 5OE

To determine

Find the method you would use to solve the quadratic equation.

Answer to Problem 5OE

Quadratic Formula

Explanation of Solution

Given:

The equation is :

  $x^2+7x+2=0$

Calculation:

The given equation $x^2+7x+2=0$ is of the type $a{x}^2+bx+c=0$ , where a = 1 and b = 7, c = 2 .

  $b^2-4ac=7^2-4(1)(2)=49-8=41$ , which is not perfect square .

So, it can be solved by using the Quadratic Formula : $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$