x^2-38x-7200=0

Solution for x^2-38x-7200=0 equation:

x^2-38x-7200=0

a = 1; b = -38; c = -7200;
Δ = b2-4ac
Δ = -382-4·1·(-7200)
Δ = 30244
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:

$\sqrt{\Delta}=\sqrt{30244}=\sqrt{4*7561}=\sqrt{4}*\sqrt{7561}=2\sqrt{7561}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-38)-2\sqrt{7561}}{2*1}=\frac{38-2\sqrt{7561}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-38)+2\sqrt{7561}}{2*1}=\frac{38+2\sqrt{7561}}{2}
$