X^2-15x-2700=0

Solution for X^2-15x-2700=0 equation:

X^2-15X-2700=0

a = 1; b = -15; c = -2700;
Δ = b2-4ac
Δ = -152-4·1·(-2700)
Δ = 11025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11025}=105$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-105}{2*1}=\frac{-90}{2}
=-45
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+105}{2*1}=\frac{120}{2}
=60
$