13y^2+88y-10=0

Solution for 13y^2+88y-10=0 equation:

13y^2+88y-10=0

a = 13; b = 88; c = -10;
Δ = b2-4ac
Δ = 882-4·13·(-10)
Δ = 8264
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{8264}=\sqrt{4*2066}=\sqrt{4}*\sqrt{2066}=2\sqrt{2066}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(88)-2\sqrt{2066}}{2*13}=\frac{-88-2\sqrt{2066}}{26}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(88)+2\sqrt{2066}}{2*13}=\frac{-88+2\sqrt{2066}}{26}
$