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

The solutions to the equation completesquare x^2+2x are (x+1)^2-1

Find the zeros of completesquare x^2+2x

The zeros of completesquare x^2+2x are (x+1)^2-1

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complete the square

x^{2} + 2 x

(x + 1)^{2} - 1

Solution steps

x^{2} + 2 x

Write

x^{2} + 2 x

in the form:

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

2 a = 2 : a = 1

Add and subtract

1^{2}

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

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

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

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

Simplify

(x + 1)^{2} - 1

21 x^{2} + 100 = - 5

x^{2} + 4 x

x^{2} - 6 x

x, x (x - y) + y (y - z) + z (z - x) = 1

3 x (x - 2) - (x - 6) = 23 (x - 3)

What are the solutions to the equation completesquare x^2+2x ?
The solutions to the equation completesquare x^2+2x are (x+1)^2-1
Find the zeros of completesquare x^2+2x
The zeros of completesquare x^2+2x are (x+1)^2-1