What are the solutions to the equation completesquare 3s^2+8s=2s-9 ?

The solutions to the equation completesquare 3s^2+8s=2s-9 are s=sqrt(2)i-1,s=-sqrt(2)i-1

Find the zeros of completesquare 3s^2+8s=2s-9

The zeros of completesquare 3s^2+8s=2s-9 are s=sqrt(2)i-1,s=-sqrt(2)i-1

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3 s^{2} + 8 s = 2 s - 9

s = 2 i - 1, s = - 2 i - 1

Solution steps

3 s^{2} + 8 s = 2 s - 9

Move

2 s

to the left side

3 s^{2} + 6 s = - 9

Divide both sides by

3

\frac{3 s ^{2} + 6 s}{3} = \frac{- 9}{3}

s^{2} + 2 s = - 3

Rewrite in the form

(x + a)^{2} = b

(s + 1)^{2} = - 2

For

the solutions are

f (x) = a, - a

Solve

s + 1 = - 2 : s = 2 i - 1

Solve

s + 1 = - - 2 : s = - 2 i - 1

The solutions to the quadratic equation are:

s = 2 i - 1, s = - 2 i - 1

What are the solutions to the equation completesquare 3s^2+8s=2s-9 ?
The solutions to the equation completesquare 3s^2+8s=2s-9 are s=sqrt(2)i-1,s=-sqrt(2)i-1
Find the zeros of completesquare 3s^2+8s=2s-9
The zeros of completesquare 3s^2+8s=2s-9 are s=sqrt(2)i-1,s=-sqrt(2)i-1