x^2-25x-350=0

Solution for x^2-25x-350=0 equation:

x^2-25x-350=0

a = 1; b = -25; c = -350;
Δ = b2-4ac
Δ = -252-4·1·(-350)
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-45}{2*1}=\frac{-20}{2}
=-10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+45}{2*1}=\frac{70}{2}
=35
$