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

X = 10 and X = - 4

Step-by-step 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