What are the solutions to the equation completesquare-2x^2+3x-1 ?

The solutions to the equation completesquare-2x^2+3x-1 are -2(x-3/4)^2+1/8

Find the zeros of completesquare-2x^2+3x-1

The zeros of completesquare-2x^2+3x-1 are -2(x-3/4)^2+1/8

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complete the square

- 2 x^{2} + 3 x - 1

- 2 (x - \frac{3}{4})^{2} + \frac{1}{8}

Solution steps

- 2 x^{2} + 3 x - 1

Write

- 2 x^{2} + 3 x - 1

in the form:

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

Factor out

- 2

- 2 (x^{2} - \frac{3 x}{2} + \frac{1}{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{1}{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{1}{2} - (- \frac{3}{4})^{2})

Simplify

- 2 (x - \frac{3}{4})^{2} + \frac{1}{8}

- p^{2} + 2 p + 3 = 0

15 + 2 (2.5 - x) = 11 + x^{2}

x, (x - 2)^{2} + (y - 3)^{2} = 0

(3 m - 32) \cdot x^{2} - (m - 4) x + 4 = 0

9 = 4 + x^{2}

What are the solutions to the equation completesquare-2x^2+3x-1 ?
The solutions to the equation completesquare-2x^2+3x-1 are -2(x-3/4)^2+1/8
Find the zeros of completesquare-2x^2+3x-1
The zeros of completesquare-2x^2+3x-1 are -2(x-3/4)^2+1/8