7y^2-8y-195=0

Solution for 7y^2-8y-195=0 equation:

7y^2-8y-195=0

a = 7; b = -8; c = -195;
Δ = b2-4ac
Δ = -82-4·7·(-195)
Δ = 5524
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:

$\sqrt{\Delta}=\sqrt{5524}=\sqrt{4*1381}=\sqrt{4}*\sqrt{1381}=2\sqrt{1381}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-2\sqrt{1381}}{2*7}=\frac{8-2\sqrt{1381}}{14}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+2\sqrt{1381}}{2*7}=\frac{8+2\sqrt{1381}}{14}
$