15y^2=36y

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Solution for 15y^2=36y equation:



15y^2=36y
We move all terms to the left:
15y^2-(36y)=0
a = 15; b = -36; c = 0;
Δ = b2-4ac
Δ = -362-4·15·0
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-36}{2*15}=\frac{0}{30} =0 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+36}{2*15}=\frac{72}{30} =2+2/5 $

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