Three times the square of the difference of x and 6 is 12

Question

asked Apr 7, 2020 65.7k views

2 Answers

Steven Don · Answer 1 · 2020-04-12T06:37:12+0000

Answer:

Equation:
3(x-6)^2=12

Solutions:
$x=4\text{ or }x=8$

Explanation:

Unknown variable
= x

Difference of x and 6
= x - 6

Square of the difference of x and 6
=(x-6)^2

Three times the square of the difference of x and 6
=3(x-6)^2

Three times the square of the difference of x and 6 is 12, then

3(x-6)^2=12

Divide this equation by 3:

(x-6)^2 =4

Now

$x-6=2\text{ or }x-6=-2\\ \\x=2+6\text{ or }x=-2+6\\ \\x=8\text{ or }x=4$