What are the solutions to the equation completesquare s^2+3s+4 ?

The solutions to the equation completesquare s^2+3s+4 are (s+3/2)^2+7/4

Find the zeros of completesquare s^2+3s+4

The zeros of completesquare s^2+3s+4 are (s+3/2)^2+7/4

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complete the square

s^{2} + 3 s + 4

(s + \frac{3}{2})^{2} + \frac{7}{4}

Solution steps

s^{2} + 3 s + 4

Write

s^{2} + 3 s + 4

in the form:

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

2 a = 3 : a = \frac{3}{2}

Add and subtract

(\frac{3}{2})^{2}

s^{2} + 3 s + 4 + (\frac{3}{2})^{2} - (\frac{3}{2})^{2}

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

s^{2} + 3 s + (\frac{3}{2})^{2} = (s + \frac{3}{2})^{2}

(s + \frac{3}{2})^{2} + 4 - (\frac{3}{2})^{2}

Simplify

(s + \frac{3}{2})^{2} + \frac{7}{4}

x, x^{2} - 3 m x + 2 m^{2} = 0

- 3 x^{2} = 2 x + 5

s^{2} + 9

x^{2} + 14 x = - 49

n^{2} - 5 n - 24 = 0

What are the solutions to the equation completesquare s^2+3s+4 ?
The solutions to the equation completesquare s^2+3s+4 are (s+3/2)^2+7/4
Find the zeros of completesquare s^2+3s+4
The zeros of completesquare s^2+3s+4 are (s+3/2)^2+7/4