Question

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

Answer 1

Answer: correct answer is A

Explanation:

Answer 2

1) (x+4)2 =49

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.