X2-14x-240=0

Solution for X2-14x-240=0 equation:

X2-14X-240=0

We add all the numbers together, and all the variables

X^2-14X-240=0

a = 1; b = -14; c = -240;
Δ = b2-4ac
Δ = -142-4·1·(-240)
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-34}{2*1}=\frac{-20}{2}
=-10
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+34}{2*1}=\frac{48}{2}
=24
$