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Which equation has the same solutions as x^2+6x−7=0?
Question options:
(x+3)^2=2
(x−3)^2=2
(x+3)^2=16
(x−3)^2=16

Respuesta :

kudzordzifrancis

Answer:

[tex] {(x + 3)}^{2} = 16[/tex]

Step-by-step explanation:

The given equation is

[tex] {x}^{2} + 6x - 7 = 0[/tex]

To find the equation that has the same solution, we complete the square.

Add the square of half the coefficient of x to both sides

[tex] {x}^{2} + 6x + {3}^{2} = {3}^{2} + 7 [/tex]

This becomes:

[tex] {x}^{2} + 6x + 9 = 9 + 7 [/tex]

Factor the first three terms to get a perfect square;

[tex]{(x + 3)}^{2} = 16[/tex]

The correct answer is C

Answer:

Step-by-step explanation:

good luck

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