What are the solutions to the equation completesquare x^2+22x ?

The solutions to the equation completesquare x^2+22x are (x+11)^2-121

Find the zeros of completesquare x^2+22x

The zeros of completesquare x^2+22x are (x+11)^2-121

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complete the square

x^{2} + 22 x

(x + 11)^{2} - 121

Solution steps

x^{2} + 22 x

Write

x^{2} + 22 x

in the form:

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

2 a = 22 : a = 11

Add and subtract

1 1^{2}

x^{2} + 22 x + 1 1^{2} - 1 1^{2}

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

x^{2} + 22 x + 1 1^{2} = (x + 11)^{2}

(x + 11)^{2} - 1 1^{2}

Simplify

(x + 11)^{2} - 121

5 k^{2} + 14 k + 1 = 4 k

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

7 x^{2} - 8 x + 1 = 0

12 x^{2} - 72 x + 77 = 0

x^{2} = \frac{4}{25}

What are the solutions to the equation completesquare x^2+22x ?
The solutions to the equation completesquare x^2+22x are (x+11)^2-121
Find the zeros of completesquare x^2+22x
The zeros of completesquare x^2+22x are (x+11)^2-121