x^2-350x-15000=0

Solution for x^2-350x-15000=0 equation:

x^2-350x-15000=0

a = 1; b = -350; c = -15000;
Δ = b2-4ac
Δ = -3502-4·1·(-15000)
Δ = 182500
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:

$\sqrt{\Delta}=\sqrt{182500}=\sqrt{2500*73}=\sqrt{2500}*\sqrt{73}=50\sqrt{73}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-350)-50\sqrt{73}}{2*1}=\frac{350-50\sqrt{73}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-350)+50\sqrt{73}}{2*1}=\frac{350+50\sqrt{73}}{2}
$