27y*3y=X

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Solution for 27y*3y=X equation:



27y*3y=y
We move all terms to the left:
27y*3y-(y)=0
We add all the numbers together, and all the variables
-1y+27y*3y=0
Wy multiply elements
81y^2-1y=0
a = 81; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·81·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*81}=\frac{0}{162} =0 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*81}=\frac{2}{162} =1/81 $

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