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

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

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

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

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complete the square

s^{2} - s + 2

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

Solution steps

s^{2} - s + 2

Write

s^{2} - s + 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}

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

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

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

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

Simplify

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

2 x^{2} - 4 x + 1 = 0

2 x^{2} - 48 = 0

4 x^{2} + 10 = 46

b, x^{2} - 12 x + a = (x + b)^{2}

(2 x^{2} - 1) = 0

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