What are the solutions to the equation completesquare 4x^2+36x+31 ?

The solutions to the equation completesquare 4x^2+36x+31 are 4(x+9/2)^2-50

Find the zeros of completesquare 4x^2+36x+31

The zeros of completesquare 4x^2+36x+31 are 4(x+9/2)^2-50

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complete the square

4 x^{2} + 36 x + 31

4 (x + \frac{9}{2})^{2} - 50

Solution steps

4 x^{2} + 36 x + 31

Write

4 x^{2} + 36 x + 31

in the form:

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

Factor out

4

4 (x^{2} + 9 x + \frac{31}{4})

2 a = 9 : a = \frac{9}{2}

Add and subtract

(\frac{9}{2})^{2}

4 (x^{2} + 9 x + \frac{31}{4} + (\frac{9}{2})^{2} - (\frac{9}{2})^{2})

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

x^{2} + 9 x + (\frac{9}{2})^{2} = (x + \frac{9}{2})^{2}

4 ((x + \frac{9}{2})^{2} + \frac{31}{4} - (\frac{9}{2})^{2})

Simplify

4 (x + \frac{9}{2})^{2} - 50

15 x^{2} - 6 = - 13 x

x, x^{2} + 9 b^{2} = 0

4 x (2 x - 1) - x = 3

2 x^{2} + 4 x - 1

x, v + w = x^{2} yz

What are the solutions to the equation completesquare 4x^2+36x+31 ?
The solutions to the equation completesquare 4x^2+36x+31 are 4(x+9/2)^2-50
Find the zeros of completesquare 4x^2+36x+31
The zeros of completesquare 4x^2+36x+31 are 4(x+9/2)^2-50