What are the solutions to the equation completesquare 2x^2+13x+20 ?

The solutions to the equation completesquare 2x^2+13x+20 are 2(x+13/4)^2-9/8

Find the zeros of completesquare 2x^2+13x+20

The zeros of completesquare 2x^2+13x+20 are 2(x+13/4)^2-9/8

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complete the square

2 x^{2} + 13 x + 20

2 (x + \frac{13}{4})^{2} - \frac{9}{8}

Solution steps

2 x^{2} + 13 x + 20

Write

2 x^{2} + 13 x + 20

in the form:

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

Factor out

2

2 (x^{2} + \frac{13 x}{2} + 10)

2 a = \frac{13}{2} : a = \frac{13}{4}

Add and subtract

(\frac{13}{4})^{2}

2 (x^{2} + \frac{13 x}{2} + 10 + (\frac{13}{4})^{2} - (\frac{13}{4})^{2})

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

x^{2} + \frac{13}{2} x + (\frac{13}{4})^{2} = (x + \frac{13}{4})^{2}

2 ((x + \frac{13}{4})^{2} + 10 - (\frac{13}{4})^{2})

Simplify

2 (x + \frac{13}{4})^{2} - \frac{9}{8}

225 = x^{2}

(x + 2)^{2} = 12

x, x^{2} y^{2} + 4 x y = 12 y

2 x^{2} - 5 x - 15 = 0

x^{2} + 2 x - 24 = 0

What are the solutions to the equation completesquare 2x^2+13x+20 ?
The solutions to the equation completesquare 2x^2+13x+20 are 2(x+13/4)^2-9/8
Find the zeros of completesquare 2x^2+13x+20
The zeros of completesquare 2x^2+13x+20 are 2(x+13/4)^2-9/8