34.5y(y=2)

Solution for 34.5y(y=2) equation:

34.5y(y=2)

We move all terms to the left:

34.5y(y-(2))=0

We multiply parentheses

34y^2-68y=0

a = 34; b = -68; c = 0;
Δ = b2-4ac
Δ = -682-4·34·0
Δ = 4624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4624}=68$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-68)-68}{2*34}=\frac{0}{68}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-68)+68}{2*34}=\frac{136}{68}
=2
$