5x^2-110x-24200=0

Solution for 5x^2-110x-24200=0 equation:

5x^2-110x-24200=0

a = 5; b = -110; c = -24200;
Δ = b2-4ac
Δ = -1102-4·5·(-24200)
Δ = 496100
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:

$\sqrt{\Delta}=\sqrt{496100}=\sqrt{12100*41}=\sqrt{12100}*\sqrt{41}=110\sqrt{41}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-110)-110\sqrt{41}}{2*5}=\frac{110-110\sqrt{41}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-110)+110\sqrt{41}}{2*5}=\frac{110+110\sqrt{41}}{10}
$