X2+102x-7200=0

Solution for X2+102x-7200=0 equation:

X2+102X-7200=0

We add all the numbers together, and all the variables

X^2+102X-7200=0

a = 1; b = 102; c = -7200;
Δ = b2-4ac
Δ = 1022-4·1·(-7200)
Δ = 39204
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{39204}=198$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(102)-198}{2*1}=\frac{-300}{2}
=-150
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(102)+198}{2*1}=\frac{96}{2}
=48
$