2y^2-70y-910=0

Solution for 2y^2-70y-910=0 equation:

2y^2-70y-910=0

a = 2; b = -70; c = -910;
Δ = b2-4ac
Δ = -702-4·2·(-910)
Δ = 12180
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:

$\sqrt{\Delta}=\sqrt{12180}=\sqrt{4*3045}=\sqrt{4}*\sqrt{3045}=2\sqrt{3045}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-2\sqrt{3045}}{2*2}=\frac{70-2\sqrt{3045}}{4}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+2\sqrt{3045}}{2*2}=\frac{70+2\sqrt{3045}}{4}
$