What are the solutions to the equation completesquare 4x^2+16x+8 ?

The solutions to the equation completesquare 4x^2+16x+8 are 4(x+2)^2-8

Find the zeros of completesquare 4x^2+16x+8

The zeros of completesquare 4x^2+16x+8 are 4(x+2)^2-8

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complete the square

4 x^{2} + 16 x + 8

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

Solution steps

4 x^{2} + 16 x + 8

Write

4 x^{2} + 16 x + 8

in the form:

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

Factor out

4

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

2 a = 4 : a = 2

Add and subtract

2^{2}

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

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

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

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

Simplify

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

3 x^{2} - 68 = 2 x^{2} + 6 x + 11

z^{2} - 14 z + 49 = - 121

3 n^{2} + 5 = - 46

x^{2} + 15 x - 23 = 0

5 t^{2} + 60 = 0

What are the solutions to the equation completesquare 4x^2+16x+8 ?
The solutions to the equation completesquare 4x^2+16x+8 are 4(x+2)^2-8
Find the zeros of completesquare 4x^2+16x+8
The zeros of completesquare 4x^2+16x+8 are 4(x+2)^2-8