Question

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

Answer 1

Answer:

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

Answer 2

Answer:

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

Step-by-step

1. (x+6)^2= 49    to get rid of the exponent square root each side of the equation.
2. (x+6)= √49     Find square root of 49.
3. (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.
4. (x+6)=7  subtract 6 from each side.
5. x= 1
6. (x+6)=-7  Subtract 6 from each side.
7. x=-13
8. So the answers are -13 and 1.