Question

Which equation has the same solution as x^2+8x-33 =0 ?1) (x+4)2 =493) (x+4)2 =172) (x-4)2 =494) (x-4)2=17Please show work

Answer 1

1) (x+4)2 =49

Explanation:

To find the equivalent equation we make use of completing the squares. To do this we first write

`x^2+8x-33=0`

adding 33 to both sides gives

`x^2+8x=33`

We complete the square by adding 16 to both sides

`x^2+8x+16=33+16`

which gives

`(x+4)^2=49`

which is choice 1.