What are the solutions to the equation completesquare x^2-1/4 x+2 ?

The solutions to the equation completesquare x^2-1/4 x+2 are (x-1/8)^2+127/64

Find the zeros of completesquare x^2-1/4 x+2

The zeros of completesquare x^2-1/4 x+2 are (x-1/8)^2+127/64

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complete the square

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

(x - \frac{1}{8})^{2} + \frac{127}{64}

Solution steps

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

Write in the standard form

a x^{2} + b x + c

x^{2} - \frac{x}{4} + 2

Write

x^{2} - \frac{x}{4} + 2

in the form:

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

2 a = - \frac{1}{4} : a = - \frac{1}{8}

Add and subtract

(- \frac{1}{8})^{2}

x^{2} - \frac{x}{4} + 2 + (- \frac{1}{8})^{2} - (- \frac{1}{8})^{2}

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

x^{2} - \frac{1}{4} x + (- \frac{1}{8})^{2} = (x - \frac{1}{8})^{2}

(x - \frac{1}{8})^{2} + 2 - (- \frac{1}{8})^{2}

Simplify

(x - \frac{1}{8})^{2} + \frac{127}{64}

4 (6 - 4 x)^{2} = 49

y^{2} + 3 y - 28 = 0

x^{2} = \frac{1}{16}

x^{2} - 3 = 1

5 p^{2} + 2 p + 6 = 0

What are the solutions to the equation completesquare x^2-1/4 x+2 ?
The solutions to the equation completesquare x^2-1/4 x+2 are (x-1/8)^2+127/64
Find the zeros of completesquare x^2-1/4 x+2
The zeros of completesquare x^2-1/4 x+2 are (x-1/8)^2+127/64