y^2+25/4=-5y

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Solution for y^2+25/4=-5y equation: 



y^2+25/4=-5y

We move all terms to the left:

y^2+25/4-(-5y)=0

We get rid of parentheses

y^2+5y+25/4=0

We multiply all the terms by the denominator


y^2*4+5y*4+25=0

Wy multiply elements

4y^2+20y+25=0

a = 4; b = 20; c = +25;
Δ = b2-4ac
Δ = 202-4·4·25
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$y=\frac{-b}{2a}=\frac{-20}{8}=-2+1/2$

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