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} + 10 = 11 x

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

(x + 6)^{2} = 25

\frac{2 x ^{2}}{5} + \frac{5 x}{4} = 10

a, c^{2} = a^{2} + b^{2}

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