Solve the quadratic equation for x. What is one of the roots? (x + 6) ^2 = 49

x equals - 1 and it also equals - 13. They are both considered the roots.

Step-by-step

(x+6) ^2 = 49 to get rid of the exponent square root each side of the equation. (x+6) = √49 Find square root of 49. (x+6) = ±7 It could be positive 7 or - 7 because both of them squared equal 49. Now solve for each possible equation, (x+6) = 7 and (x+6) = -7. (x+6) = 7 subtract 6 from each side. x = 1 (x+6) = -7 Subtract 6 from each side. x=-13 So the answers are - 13 and 1.

Solve for a.

(a+6) 2=49

-13 and 1

-1 and 13

-36√ and 36√

-43--√ and 43--√

your answer would be - 13 and 1