Question

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

Answer 1

Answer:

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

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

Step-by-step 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

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

Answer 2

Answer:

The answer is x=4 or x=8

Step-by-step explanation: