45y-8=34y2

Solution for 45y-8=34y2 equation:

45y-8=34y^2

We move all terms to the left:

45y-8-(34y^2)=0

determiningTheFunctionDomain
-34y^2+45y-8=0

a = -34; b = 45; c = -8;
Δ = b2-4ac
Δ = 452-4·(-34)·(-8)
Δ = 937
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(45)-\sqrt{937}}{2*-34}=\frac{-45-\sqrt{937}}{-68}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45)+\sqrt{937}}{2*-34}=\frac{-45+\sqrt{937}}{-68}
$