Question

Explain why the equation (x-3)^2-38=11 has two solutions. Then solve the equation to find the solutions. Show your work.

Answer 1

X = 10 and X = -4

Explanation:

(x-3)^2-38=11

(x-3)^2 = 11 +38

(x-3) ^2 = 49

Taking square root on both sides

√(x-3) ^2 = √ 49

X-3 = +7, -7

X = 7 +3, X= -7+3

X = 10 X = -4

So, it has got two solutions