34y=45y2

Solution for 34y=45y2 equation:

34y=45y^2

We move all terms to the left:

34y-(45y^2)=0

determiningTheFunctionDomain
-45y^2+34y=0

a = -45; b = 34; c = 0;
Δ = b2-4ac
Δ = 342-4·(-45)·0
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(34)-34}{2*-45}=\frac{-68}{-90}
=34/45
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(34)+34}{2*-45}=\frac{0}{-90}
=0
$