5y^2-8y-13=0

Solution for 5y^2-8y-13=0 equation:

5y^2-8y-13=0

a = 5; b = -8; c = -13;
Δ = b2-4ac
Δ = -82-4·5·(-13)
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-18}{2*5}=\frac{-10}{10}
=-1
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+18}{2*5}=\frac{26}{10}
=2+3/5
$