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

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

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

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

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complete the square

2 x^{2} + 8 x + 4

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

Solution steps

2 x^{2} + 8 x + 4

Write

2 x^{2} + 8 x + 4

in the form:

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

Factor out

2

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

2 a = 4 : a = 2

Add and subtract

2^{2}

2 (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}

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

Simplify

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

x, x^{2} - y^{2} = a

3 x^{2} + 12 x + 25 = 0

w^{2} + 10 w - 3 = 0

x, x^{2} + x - 5 = 0

x^{2} + 5 x - 14 = 0

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