5x^2-70x-148=0

Solution for 5x^2-70x-148=0 equation:

5x^2-70x-148=0

a = 5; b = -70; c = -148;
Δ = b2-4ac
Δ = -702-4·5·(-148)
Δ = 7860
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:

$\sqrt{\Delta}=\sqrt{7860}=\sqrt{4*1965}=\sqrt{4}*\sqrt{1965}=2\sqrt{1965}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-2\sqrt{1965}}{2*5}=\frac{70-2\sqrt{1965}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+2\sqrt{1965}}{2*5}=\frac{70+2\sqrt{1965}}{10}
$