What are the solutions to the equation completesquare 2x^2-3x ?

The solutions to the equation completesquare 2x^2-3x are 2(x-3/4)^2-9/8

Find the zeros of completesquare 2x^2-3x

The zeros of completesquare 2x^2-3x are 2(x-3/4)^2-9/8

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complete the square

2 x^{2} - 3 x

2 (x - \frac{3}{4})^{2} - \frac{9}{8}

Solution steps

2 x^{2} - 3 x

Write

2 x^{2} - 3 x

in the form:

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

Factor out

2

2 (x^{2} - \frac{3 x}{2})

2 a = - \frac{3}{2} : a = - \frac{3}{4}

Add and subtract

(- \frac{3}{4})^{2}

2 (x^{2} - \frac{3 x}{2} + (- \frac{3}{4})^{2} - (- \frac{3}{4})^{2})

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

x^{2} - \frac{3}{2} x + (- \frac{3}{4})^{2} = (x - \frac{3}{4})^{2}

2 ((x - \frac{3}{4})^{2} - (- \frac{3}{4})^{2})

Simplify

2 (x - \frac{3}{4})^{2} - \frac{9}{8}

10 x + 5 = 12 x^{2} + 6 x

(x + 3)^{2} = 2 x (x + 7)

- 3 x^{2} + 9 x + 3

- 3 d^{2} - 2 d + 4 = 0

x^{2} + 4 x - 38 = - 6

What are the solutions to the equation completesquare 2x^2-3x ?
The solutions to the equation completesquare 2x^2-3x are 2(x-3/4)^2-9/8
Find the zeros of completesquare 2x^2-3x
The zeros of completesquare 2x^2-3x are 2(x-3/4)^2-9/8