Question

Sovle for x . 4(x-4)=36

Answer 1

below

Explanation:

`x.4 ( x-4) = 36 \\`

`4x(x-4) = 36 \\`

`4x^(2) - 16x = 36`

add -36 to both sides

`4x^(2) - 16x - 36 = 36 -36 \\4x^(2) -16x - 36 = 0`

divide both sides by 2

`(4x^(2) - 16x - 36 )/(4) = 0/4`

`x^(2) -4x-9 = 0`

This is a quadratic equation

let's solve it by graphing it

The solution are the x-coordinates of the intersection points

The x-coordinates of the intersection points are approximatively -1.6 and 5.6