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

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

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

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

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complete the square

2 x^{2} + 8 x

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

Solution steps

2 x^{2} + 8 x

Write

2 x^{2} + 8 x

in the form:

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

Factor out

2

2 (x^{2} + 4 x)

2 a = 4 : a = 2

Add and subtract

2^{2}

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

Simplify

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

x^{2} - x - 1 = 0

y^{2} + 14 y + 48 = 0

(3 x + 1)^{2} + (x + 2)^{2} = 65

2 a^{2} - 5 a + 3 = 0

x^{2} - 7 x + 6 = 0

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