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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 :

Answer:

1) (x+4)2 =49

Explanation:

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

[tex]x^2+8x-33=0[/tex]

adding 33 to both sides gives

[tex]x^2+8x=33[/tex]

We complete the square by adding 16 to both sides

[tex]x^2+8x+16=33+16[/tex]

which gives

[tex](x+4)^2=49[/tex]

which is choice 1.

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