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

The solutions to the equation completesquare x^2+x are (x+1/2)^2-1/4

Find the zeros of completesquare x^2+x

The zeros of completesquare x^2+x are (x+1/2)^2-1/4

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complete the square

x^{2} + x

(x + \frac{1}{2})^{2} - \frac{1}{4}

Solution steps

x^{2} + x

Write

x^{2} + x

in the form:

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

2 a = 1 : a = \frac{1}{2}

Add and subtract

(\frac{1}{2})^{2}

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

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

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

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

Simplify

(x + \frac{1}{2})^{2} - \frac{1}{4}

x^{2} + 2 x + 15 = 0

\frac{1}{4} a^{2} = 10

(x^{2} - 4 x + 7) lo g_{10} (5) + lo g_{10} (16) = 4

20 x^{2} - 27 x = 14

x, x^{2} + y^{2} + z^{2} = 4

What are the solutions to the equation completesquare x^2+x ?
The solutions to the equation completesquare x^2+x are (x+1/2)^2-1/4
Find the zeros of completesquare x^2+x
The zeros of completesquare x^2+x are (x+1/2)^2-1/4