What are the solutions to the equation completesquare x^2+28x ?

The solutions to the equation completesquare x^2+28x are (x+14)^2-196

Find the zeros of completesquare x^2+28x

The zeros of completesquare x^2+28x are (x+14)^2-196

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complete the square

x^{2} + 28 x

(x + 14)^{2} - 196

Solution steps

x^{2} + 28 x

Write

x^{2} + 28 x

in the form:

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

2 a = 28 : a = 14

Add and subtract

1 4^{2}

x^{2} + 28 x + 1 4^{2} - 1 4^{2}

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

x^{2} + 28 x + 1 4^{2} = (x + 14)^{2}

(x + 14)^{2} - 1 4^{2}

Simplify

(x + 14)^{2} - 196

1 + 4 + 7 + 10 (3 n - 2) = \frac{n ( 3 n - 1 )}{2}

2 x (1 + x) = 4

4 k (k + 3) = - 15

s^{2} + 5 s + 9 = 0

x^{2} + 2 x - 1 = 0

What are the solutions to the equation completesquare x^2+28x ?
The solutions to the equation completesquare x^2+28x are (x+14)^2-196
Find the zeros of completesquare x^2+28x
The zeros of completesquare x^2+28x are (x+14)^2-196