x^2-7x-11760=0

Solution for x^2-7x-11760=0 equation:

x^2-7x-11760=0

a = 1; b = -7; c = -11760;
Δ = b2-4ac
Δ = -72-4·1·(-11760)
Δ = 47089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{47089}=217$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-217}{2*1}=\frac{-210}{2}
=-105
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+217}{2*1}=\frac{224}{2}
=112
$