y^2+81/4=-9y

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Solution for y^2+81/4=-9y equation:



y^2+81/4=-9y
We move all terms to the left:
y^2+81/4-(-9y)=0
We get rid of parentheses
y^2+9y+81/4=0
We multiply all the terms by the denominator
y^2*4+9y*4+81=0
Wy multiply elements
4y^2+36y+81=0
a = 4; b = 36; c = +81;
Δ = b2-4ac
Δ = 362-4·4·81
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$y=\frac{-b}{2a}=\frac{-36}{8}=-4+1/2$

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