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

The solutions to the equation completesquare 2x^2+3x+2 are 2(x+3/4)^2+7/8

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

The zeros of completesquare 2x^2+3x+2 are 2(x+3/4)^2+7/8

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complete the square

2 x^{2} + 3 x + 2

2 (x + \frac{3}{4})^{2} + \frac{7}{8}

Solution steps

2 x^{2} + 3 x + 2

Write

2 x^{2} + 3 x + 2

in the form:

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

Factor out

2

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

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

Add and subtract

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

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

Simplify

2 (x + \frac{3}{4})^{2} + \frac{7}{8}

2 v^{2} - 4 v - 64 = - 2

s^{2} + 6 s + 2 = 0

(3 x - 2) (x + 1) = 0

s^{2} + 6 s + 3 = 0

(x + 7)^{2} + (x - 7)^{2} = 130

What are the solutions to the equation completesquare 2x^2+3x+2 ?
The solutions to the equation completesquare 2x^2+3x+2 are 2(x+3/4)^2+7/8
Find the zeros of completesquare 2x^2+3x+2
The zeros of completesquare 2x^2+3x+2 are 2(x+3/4)^2+7/8