What are the solutions to the equation completesquare 2x^2-5x ?

The solutions to the equation completesquare 2x^2-5x are 2(x-5/4)^2-25/8

Find the zeros of completesquare 2x^2-5x

The zeros of completesquare 2x^2-5x are 2(x-5/4)^2-25/8

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complete the square

2 x^{2} - 5 x

2 (x - \frac{5}{4})^{2} - \frac{25}{8}

Solution steps

2 x^{2} - 5 x

Write

2 x^{2} - 5 x

in the form:

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

Factor out

2

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

2 a = - \frac{5}{2} : a = - \frac{5}{4}

Add and subtract

(- \frac{5}{4})^{2}

2 (x^{2} - \frac{5 x}{2} + (- \frac{5}{4})^{2} - (- \frac{5}{4})^{2})

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

x^{2} - \frac{5}{2} x + (- \frac{5}{4})^{2} = (x - \frac{5}{4})^{2}

2 ((x - \frac{5}{4})^{2} - (- \frac{5}{4})^{2})

Simplify

2 (x - \frac{5}{4})^{2} - \frac{25}{8}

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

x^{2} = 3^{2} + 6^{2}

2 x^{2} + 2 x - 1 = x^{2} + 6 x - 5

p, (y - p x)^{2} = 1 + p^{2}

x, A = (x + y) (x + y)

What are the solutions to the equation completesquare 2x^2-5x ?
The solutions to the equation completesquare 2x^2-5x are 2(x-5/4)^2-25/8
Find the zeros of completesquare 2x^2-5x
The zeros of completesquare 2x^2-5x are 2(x-5/4)^2-25/8