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)^2-5/4

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

The zeros of completesquare s^2+s-1 are (s+1/2)^2-5/4

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complete the square

s^{2} + s - 1

(s + \frac{1}{2})^{2} - \frac{5}{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{5}{4}

16 h^{2} = 25

(2 x - 8) (7 x + 5) = 0

3 y^{2} + 5 y - 2 = 0

49 y^{2} - 126 y - 244 = 0

x^{2} + 8 x - 6 = - 30

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)^2-5/4
Find the zeros of completesquare s^2+s-1
The zeros of completesquare s^2+s-1 are (s+1/2)^2-5/4