What are the solutions to the equation completesquare s^2+5s+8 ?

The solutions to the equation completesquare s^2+5s+8 are (s+5/2)^2+7/4

Find the zeros of completesquare s^2+5s+8

The zeros of completesquare s^2+5s+8 are (s+5/2)^2+7/4

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complete the square

s^{2} + 5 s + 8

(s + \frac{5}{2})^{2} + \frac{7}{4}

Solution steps

s^{2} + 5 s + 8

Write

s^{2} + 5 s + 8

in the form:

x^{2} + 2 a x + a^{2}

2 a = 5 : a = \frac{5}{2}

Add and subtract

(\frac{5}{2})^{2}

s^{2} + 5 s + 8 + (\frac{5}{2})^{2} - (\frac{5}{2})^{2}

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

s^{2} + 5 s + (\frac{5}{2})^{2} = (s + \frac{5}{2})^{2}

(s + \frac{5}{2})^{2} + 8 - (\frac{5}{2})^{2}

Simplify

(s + \frac{5}{2})^{2} + \frac{7}{4}

x (22 - x) = 105

2^{2} + (- 3^{2}) = c^{2}

1 0^{2} + y^{2} = 9^{2}

12 - 8 x + x^{2} = 0

4 x^{2} - 10 x = 2 x^{2} + 5 x

What are the solutions to the equation completesquare s^2+5s+8 ?
The solutions to the equation completesquare s^2+5s+8 are (s+5/2)^2+7/4
Find the zeros of completesquare s^2+5s+8
The zeros of completesquare s^2+5s+8 are (s+5/2)^2+7/4