What are the solutions to the equation completesquare 2x^2-10x ?

The solutions to the equation completesquare 2x^2-10x are 2(x-5/2)^2-25/2

Find the zeros of completesquare 2x^2-10x

The zeros of completesquare 2x^2-10x are 2(x-5/2)^2-25/2

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complete the square

2 x^{2} - 10 x

2 (x - \frac{5}{2})^{2} - \frac{25}{2}

Solution steps

2 x^{2} - 10 x

Write

2 x^{2} - 10 x

in the form:

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

Factor out

2

2 (x^{2} - 5 x)

2 a = - 5 : a = - \frac{5}{2}

Add and subtract

(- \frac{5}{2})^{2}

2 (x^{2} - 5 x + (- \frac{5}{2})^{2} - (- \frac{5}{2})^{2})

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

x^{2} - 5 x + (- \frac{5}{2})^{2} = (x - \frac{5}{2})^{2}

2 ((x - \frac{5}{2})^{2} - (- \frac{5}{2})^{2})

Simplify

2 (x - \frac{5}{2})^{2} - \frac{25}{2}

x^{2} - 22 + 121 = 0

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

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

2 (x + \frac{1}{2})^{2} - \frac{9}{2} = 0

2 x^{2} + 7 x + 3 = 0

What are the solutions to the equation completesquare 2x^2-10x ?
The solutions to the equation completesquare 2x^2-10x are 2(x-5/2)^2-25/2
Find the zeros of completesquare 2x^2-10x
The zeros of completesquare 2x^2-10x are 2(x-5/2)^2-25/2