Which equation has the same solution as x^2+8x-33 =0 ? 1) (x+4)2 =49
3) (x+4)2 =17
2) (x-4)2 =49
4) (x-4)2=17
Please show work

1) (x+4)2 =49

Step-by-step explanation:

x^2+8x-33 = 0   Factor this equation

(x + 11)(x - 3) = 0     Set each equation equal to 0

x = -11 and 3

Test the first equation to see if it has the same solution

(x+4)2 = 49      Simplify the parentheses

(x+4)(x+4) = 49     FOIL the equation

x^2 + 8x + 16 = 49     Subtract 49 from both sides

x^2 + 8x - 33 = 0       This is the correct solution.