105x^2-950x+881=0

Solution for 105x^2-950x+881=0 equation:

105x^2-950x+881=0

a = 105; b = -950; c = +881;
Δ = b2-4ac
Δ = -9502-4·105·881
Δ = 532480
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{532480}=\sqrt{4096*130}=\sqrt{4096}*\sqrt{130}=64\sqrt{130}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-950)-64\sqrt{130}}{2*105}=\frac{950-64\sqrt{130}}{210}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-950)+64\sqrt{130}}{2*105}=\frac{950+64\sqrt{130}}{210}
$