What are the solutions to the equation completesquare s^2+s+5/4 ?

The solutions to the equation completesquare s^2+s+5/4 are (s+1/2)^2+1

Find the zeros of completesquare s^2+s+5/4

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

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complete the square

s^{2} + s + \frac{5}{4}

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

Solution steps

s^{2} + s + \frac{5}{4}

Write

s^{2} + s + \frac{5}{4}

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

Simplify

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

3 x^{2} = 4 x + 4

(3 a - 10) (2 a - 7) = 0

6 x^{2} + 8 x - 2 = 0

x^{2} - 8 x + 15 = 0

2 (x - 3)^{2} + 7 = 23

What are the solutions to the equation completesquare s^2+s+5/4 ?
The solutions to the equation completesquare s^2+s+5/4 are (s+1/2)^2+1
Find the zeros of completesquare s^2+s+5/4
The zeros of completesquare s^2+s+5/4 are (s+1/2)^2+1