What are the solutions to the equation completesquare x^2+1/2 x ?

The solutions to the equation completesquare x^2+1/2 x are (x+1/4)^2-1/16

Find the zeros of completesquare x^2+1/2 x

The zeros of completesquare x^2+1/2 x are (x+1/4)^2-1/16

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complete the square

x^{2} + \frac{1}{2} x

(x + \frac{1}{4})^{2} - \frac{1}{16}

Solution steps

x^{2} + \frac{1}{2} x

Write in the standard form

a x^{2} + b x + c

x^{2} + \frac{x}{2}

Write

x^{2} + \frac{x}{2}

in the form:

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

2 a = \frac{1}{2} : a = \frac{1}{4}

Add and subtract

(\frac{1}{4})^{2}

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

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

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

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

Simplify

(x + \frac{1}{4})^{2} - \frac{1}{16}

x, x^{2} y + y^{2} - 3 x^{2} = 0

x (x - a) - b (a + b) = 0

z^{2} - 5 z + 84 = 0

a^{2} + 9^{2} = 1 5^{2}

x^{2} - 13 x + 6 = 0

What are the solutions to the equation completesquare x^2+1/2 x ?
The solutions to the equation completesquare x^2+1/2 x are (x+1/4)^2-1/16
Find the zeros of completesquare x^2+1/2 x
The zeros of completesquare x^2+1/2 x are (x+1/4)^2-1/16