9y-4y^2=0

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Solution for 9y-4y^2=0 equation: 



9y-4y^2=0

a = -4; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·(-4)·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$


$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-9}{2*-4}=\frac{-18}{-8}
=2+1/4
$


$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*-4}=\frac{0}{-8}
=0
$

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