Answer:
The answer are 11 and 1
Explanation:
Given the equation x²-12x+36 = 25, to solve the equation means calculating for all the possible value of the x variable. To get that, we will have to make x the subject of the formula;
Step 1: we will subtract 36 from both sides of the equation to have;
x²-12x+36-36 = 25-36
x²-12x = -11
2nd step: We will add 11 to both sides of the equation to have;
x²-12x+11 = 0
3rd step: we will factorise the resulting quadratic equation to have;
(x²-11x)-(x+11)=0
x(x-11)-1(x-11)= 0
(x-1)(x-11)= 0
x-1 =0 and x - 11 = 0
Step 3: we will calculate the possible values of x.
If x-1 =0, x= 1
If x-11 =0, x = 11
The possible values of x are 11 and 1