What are the solutions to the equation completesquare 2s^2+3.6s+15 ?

The solutions to the equation completesquare 2s^2+3.6s+15 are 2(s+0.9)^2+13.38

Find the zeros of completesquare 2s^2+3.6s+15

The zeros of completesquare 2s^2+3.6s+15 are 2(s+0.9)^2+13.38

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complete the square

2 s^{2} + 3.6 s + 15

2 (s + 0.9)^{2} + 13.38

Solution steps

2 s^{2} + 3.6 s + 15

Write

2 s^{2} + 3.6 s + 15

in the form:

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

Factor out

2

2 (s^{2} + \frac{3.6 s}{2} + \frac{15}{2})

2 a = \frac{3.6}{2} : a = 0.9

Add and subtract

0. 9^{2}

2 (s^{2} + \frac{3.6 s}{2} + \frac{15}{2} + 0. 9^{2} - 0. 9^{2})

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

s^{2} + \frac{3.6}{2} s + 0. 9^{2} = (s + 0.9)^{2}

2 ((s + 0.9)^{2} + \frac{15}{2} - 0. 9^{2})

Simplify

2 (s + 0.9)^{2} + 13.38

16 - 4 x = 8 x^{2}

x^{2} + 3 x + c = \frac{7}{4} + c

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

k^{2} + 12 = 3

14 x^{2} - 336 x - 2592 = 0

What are the solutions to the equation completesquare 2s^2+3.6s+15 ?
The solutions to the equation completesquare 2s^2+3.6s+15 are 2(s+0.9)^2+13.38
Find the zeros of completesquare 2s^2+3.6s+15
The zeros of completesquare 2s^2+3.6s+15 are 2(s+0.9)^2+13.38