x^2-107-107x=0

Solution for x^2-107-107x=0 equation:

x^2-107-107x=0

a = 1; b = -107; c = -107;
Δ = b2-4ac
Δ = -1072-4·1·(-107)
Δ = 11877
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{-(-107)-\sqrt{11877}}{2*1}=\frac{107-\sqrt{11877}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-107)+\sqrt{11877}}{2*1}=\frac{107+\sqrt{11877}}{2}
$