4x^2-14x-1320=0

Solution for 4x^2-14x-1320=0 equation:

4x^2-14x-1320=0

a = 4; b = -14; c = -1320;
Δ = b2-4ac
Δ = -142-4·4·(-1320)
Δ = 21316
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{21316}=146$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-146}{2*4}=\frac{-132}{8}
=-16+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+146}{2*4}=\frac{160}{8}
=20
$