50x^2-60x-7=0

Solution for 50x^2-60x-7=0 equation:

50x^2-60x-7=0

a = 50; b = -60; c = -7;
Δ = b2-4ac
Δ = -602-4·50·(-7)
Δ = 5000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{5000}=\sqrt{2500*2}=\sqrt{2500}*\sqrt{2}=50\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-50\sqrt{2}}{2*50}=\frac{60-50\sqrt{2}}{100}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+50\sqrt{2}}{2*50}=\frac{60+50\sqrt{2}}{100}
$