y^2+9/4=-3y

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Solution for y^2+9/4=-3y equation: 



y^2+9/4=-3y

We move all terms to the left:

y^2+9/4-(-3y)=0

We get rid of parentheses

y^2+3y+9/4=0

We multiply all the terms by the denominator


y^2*4+3y*4+9=0

Wy multiply elements

4y^2+12y+9=0

a = 4; b = 12; c = +9;
Δ = b2-4ac
Δ = 122-4·4·9
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$y=\frac{-b}{2a}=\frac{-12}{8}=-1+1/2$

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