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

The solutions to the equation completesquare x^2-x+2 are (x-1/2)^2+7/4

Find the zeros of completesquare x^2-x+2

The zeros of completesquare x^2-x+2 are (x-1/2)^2+7/4

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complete the square

x^{2} - x + 2

(x - \frac{1}{2})^{2} + \frac{7}{4}

Solution steps

x^{2} - x + 2

Write

x^{2} - x + 2

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

Simplify

(x - \frac{1}{2})^{2} + \frac{7}{4}

x^{2} + x = - 2

x^{2} + 6.5 x + 10.5 = 0

x^{2} + 7 x - 15 = 0

x^{2} + 5 x + 15 = 11

x^{2} - 8 x = - 3

What are the solutions to the equation completesquare x^2-x+2 ?
The solutions to the equation completesquare x^2-x+2 are (x-1/2)^2+7/4
Find the zeros of completesquare x^2-x+2
The zeros of completesquare x^2-x+2 are (x-1/2)^2+7/4