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^{2} = 5^{2}

12 x^{2} - 464 x + 3003 = 0

x, x y = 2 (x - y)^{2}

- 3 x^{2} + 9 x + 5 = 0

2 - 3 x + x^{2} = 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