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+7/4

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

The zeros of completesquare s^2+s+2 are (s+1/2)^2+7/4

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complete the square

s^{2} + s + 2

(s + \frac{1}{2})^{2} + \frac{7}{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{7}{4}

5 x^{2} = 2 x + 3

(150)^{2} = (x)^{2} + (3 x + 15)^{2}

6 x^{2} - 10 x + 5 = 0

9 v^{2} = 30 v - 25

x, x^{2} + 3 y^{2} - 6 x + 15 y + 84 = 0

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+7/4
Find the zeros of completesquare s^2+s+2
The zeros of completesquare s^2+s+2 are (s+1/2)^2+7/4