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)^2-9/4

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

The zeros of completesquare s^2-s-2 are (s-1/2)^2-9/4

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complete the square

s^{2} - s - 2

(s - \frac{1}{2})^{2} - \frac{9}{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{9}{4}

c^{2} - 8 c + 16 = 0

9 x^{2} + 12 x + 3 = 0

- \frac{1}{2} x^{2} - 5 = 0

a, a^{2} + b c = 1

0 = - x^{2} + x + 12

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)^2-9/4
Find the zeros of completesquare s^2-s-2
The zeros of completesquare s^2-s-2 are (s-1/2)^2-9/4