8y^2-833y-344=0

Solution for 8y^2-833y-344=0 equation:

8y^2-833y-344=0

a = 8; b = -833; c = -344;
Δ = b2-4ac
Δ = -8332-4·8·(-344)
Δ = 704897
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{-(-833)-\sqrt{704897}}{2*8}=\frac{833-\sqrt{704897}}{16}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-833)+\sqrt{704897}}{2*8}=\frac{833+\sqrt{704897}}{16}
$