2x^2-59x-14=0

Solution for 2x^2-59x-14=0 equation:

2x^2-59x-14=0

a = 2; b = -59; c = -14;
Δ = b2-4ac
Δ = -592-4·2·(-14)
Δ = 3593
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-\sqrt{3593}}{2*2}=\frac{59-\sqrt{3593}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+\sqrt{3593}}{2*2}=\frac{59+\sqrt{3593}}{4}
$