What are the solutions to the equation completesquare s^2-s+1 ?

The solutions to the equation completesquare s^2-s+1 are (s-1/2)^2+3/4

Find the zeros of completesquare s^2-s+1

The zeros of completesquare s^2-s+1 are (s-1/2)^2+3/4

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complete the square

s^{2} - s + 1

(s - \frac{1}{2})^{2} + \frac{3}{4}

Solution steps

s^{2} - s + 1

Write

s^{2} - s + 1

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

Simplify

(s - \frac{1}{2})^{2} + \frac{3}{4}

x^{2} = 24 x

7 x^{2} - 12 x = 9

39 y^{2} - 148 y + 132 = 0

(4 x + 1)^{2} + 9 (4 x + 1) = - 18

- 5 x^{2} - 90 x = - 555

What are the solutions to the equation completesquare s^2-s+1 ?
The solutions to the equation completesquare s^2-s+1 are (s-1/2)^2+3/4
Find the zeros of completesquare s^2-s+1
The zeros of completesquare s^2-s+1 are (s-1/2)^2+3/4