What are the solutions to the equation completesquare x^2+8x+4 ?

The solutions to the equation completesquare x^2+8x+4 are (x+4)^2-12

Find the zeros of completesquare x^2+8x+4

The zeros of completesquare x^2+8x+4 are (x+4)^2-12

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complete the square

x^{2} + 8 x + 4

(x + 4)^{2} - 12

Solution steps

x^{2} + 8 x + 4

Write

x^{2} + 8 x + 4

in the form:

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

2 a = 8 : a = 4

Add and subtract

4^{2}

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

Simplify

(x + 4)^{2} - 12

x^{2} + 8 x + 2

4 x^{2} + 96 = - 40 x

3 x^{2} - 6 x - 1 = 0

0 = - x^{2} + 2 x + 8

9 x^{2} - 12 x + 4 = 4

What are the solutions to the equation completesquare x^2+8x+4 ?
The solutions to the equation completesquare x^2+8x+4 are (x+4)^2-12
Find the zeros of completesquare x^2+8x+4
The zeros of completesquare x^2+8x+4 are (x+4)^2-12