What are the solutions to the equation completesquare x^2+8x+7 ?

The solutions to the equation completesquare x^2+8x+7 are (x+4)^2-9

Find the zeros of completesquare x^2+8x+7

The zeros of completesquare x^2+8x+7 are (x+4)^2-9

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complete the square

x^{2} + 8 x + 7

(x + 4)^{2} - 9

Solution steps

x^{2} + 8 x + 7

Write

x^{2} + 8 x + 7

in the form:

x^{2} + 2 a x + a^{2}

2 a = 8 : a = 4

Add and subtract

4^{2}

x^{2} + 8 x + 7 + 4^{2} - 4^{2}

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + 8 x + 4^{2} = (x + 4)^{2}

(x + 4)^{2} + 7 - 4^{2}

Simplify

(x + 4)^{2} - 9

5 x^{2} + 2 x = 7

5^{2} = x^{2} + 3^{2}

12 x^{2} - 8 x = 0

m^{2} + 4 m - 5 = 0

x^{2} + 18 x = - 72

What are the solutions to the equation completesquare x^2+8x+7 ?
The solutions to the equation completesquare x^2+8x+7 are (x+4)^2-9
Find the zeros of completesquare x^2+8x+7
The zeros of completesquare x^2+8x+7 are (x+4)^2-9