70y^2-130y+60=0

Solution for 70y^2-130y+60=0 equation:

70y^2-130y+60=0

a = 70; b = -130; c = +60;
Δ = b2-4ac
Δ = -1302-4·70·60
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-130)-10}{2*70}=\frac{120}{140}
=6/7
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-130)+10}{2*70}=\frac{140}{140}
=1
$