What are the solutions to the equation completesquare x^2+9x ?

The solutions to the equation completesquare x^2+9x are (x+9/2)^2-81/4

Find the zeros of completesquare x^2+9x

The zeros of completesquare x^2+9x are (x+9/2)^2-81/4

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complete the square

x^{2} + 9 x

(x + \frac{9}{2})^{2} - \frac{81}{4}

Solution steps

x^{2} + 9 x

Write

x^{2} + 9 x

in the form:

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

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

Add and subtract

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

x^{2} + 9 x + (\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}

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

Simplify

(x + \frac{9}{2})^{2} - \frac{81}{4}

27 a y - 14 y^{2} = 10 a^{2}

x^{2} + 11 x + 11 = 4 x

x^{2} - 5 x = 0

x - 36 = x^{2} - 11 x

3 x^{2} + 1 = 5

What are the solutions to the equation completesquare x^2+9x ?
The solutions to the equation completesquare x^2+9x are (x+9/2)^2-81/4
Find the zeros of completesquare x^2+9x
The zeros of completesquare x^2+9x are (x+9/2)^2-81/4