Question

Solve. x2 + 6x = 10

-3 ± sqrt 10
-3 ± sqrt 7
-3 ± sqrt 19
-3 ± sqrt 13
...?

Answer 1

We can solve the given equation above by doing the completing the square method. We do as follows:

x^2 + 6x = 10
x^2 + 6x + 9 = 10 +9
(x+3)^2 = 19
√(x+3)^2 = √19
x + 3 = √19

Therefore, the correct answer from the choices listed above is the third option, -3 ± sqrt 19. Hope this answers the question. Have a nice day.