8y^2-73y=90

Solution for 8y^2-73y=90 equation:

8y^2-73y=90

We move all terms to the left:

8y^2-73y-(90)=0

a = 8; b = -73; c = -90;
Δ = b2-4ac
Δ = -732-4·8·(-90)
Δ = 8209
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{-(-73)-\sqrt{8209}}{2*8}=\frac{73-\sqrt{8209}}{16}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+\sqrt{8209}}{2*8}=\frac{73+\sqrt{8209}}{16}
$