x2-150x-1350000=0

Solution for x2-150x-1350000=0 equation:

x2-150x-1350000=0

We add all the numbers together, and all the variables

x^2-150x-1350000=0

a = 1; b = -150; c = -1350000;
Δ = b2-4ac
Δ = -1502-4·1·(-1350000)
Δ = 5422500
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:

$\sqrt{\Delta}=\sqrt{5422500}=\sqrt{22500*241}=\sqrt{22500}*\sqrt{241}=150\sqrt{241}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-150)-150\sqrt{241}}{2*1}=\frac{150-150\sqrt{241}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-150)+150\sqrt{241}}{2*1}=\frac{150+150\sqrt{241}}{2}
$