What are the solutions to the equation completesquare x^2+6x ?

The solutions to the equation completesquare x^2+6x are (x+3)^2-9

Find the zeros of completesquare x^2+6x

The zeros of completesquare x^2+6x are (x+3)^2-9

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complete the square

x^{2} + 6 x

(x + 3)^{2} - 9

Solution steps

x^{2} + 6 x

Write

x^{2} + 6 x

in the form:

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

2 a = 6 : a = 3

Add and subtract

3^{2}

x^{2} + 6 x + 3^{2} - 3^{2}

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

x^{2} + 6 x + 3^{2} = (x + 3)^{2}

(x + 3)^{2} - 3^{2}

Simplify

(x + 3)^{2} - 9

r, v = \frac{1}{3} π r^{2} h

2 x^{2} - 6 x = 6 x^{2} - 8 x

2 x^{2} + 6 = - 34

x^{2} + 2 x

21 x^{2} + 100 = - 5

What are the solutions to the equation completesquare x^2+6x ?
The solutions to the equation completesquare x^2+6x are (x+3)^2-9
Find the zeros of completesquare x^2+6x
The zeros of completesquare x^2+6x are (x+3)^2-9