Question

Please help with this problem my son is having problems showing his work an understanding how. Solve x2 – 6x = 16 using the quadratic formula method. Show your work. Then describe the solution.

Answer 1

We are given the quadratic equation

`x^2-6x=16`

We want to solve by using the quadratic formula method

Note: Given a quadratic equation

`ax^2+bx+c=0`

The formula method is given

`x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}`

From

`\begin{gathered} x^2-6x=16 \\ x^2-6x-16=0 \\ \text{Comparing with the general form of a quadratic equation} \\ a=1 \\ b=-6 \\ c=-16 \end{gathered}`

Substituting the parameters intot the quadratic formula

and

Therefore,

`x=8,-2`