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)^2-17/8

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

The zeros of completesquare 2x^2+3x-1 are 2(x+3/4)^2-17/8

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complete the square

2 x^{2} + 3 x - 1

2 (x + \frac{3}{4})^{2} - \frac{17}{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{17}{8}

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

9 f^{2} + 6 f + 1 = 0

2 x^{2} - 2 = - 18

0.0138 x + \frac{( - 9.47 \cdot 1 0 ^{- 4} )}{2} x^{2} = 0.0111 x + \frac{( 15.15 \cdot 1 0 ^{- 4} )}{2} x^{2}

12 - 36 x + 18 x^{2} = 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)^2-17/8
Find the zeros of completesquare 2x^2+3x-1
The zeros of completesquare 2x^2+3x-1 are 2(x+3/4)^2-17/8