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}

x^{2} + 8 x - 192 = 0

(x - 5) (x - 1) (x + 2) + x (2 x - 11) (x + 2) = x (3 x - 12) (x - 1)

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

v^{2} + 8 v

X^{2} - 10 X + 25 = 0

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