X2-60x-2700=0

Solution for X2-60x-2700=0 equation:

X2-60X-2700=0

We add all the numbers together, and all the variables

X^2-60X-2700=0

a = 1; b = -60; c = -2700;
Δ = b2-4ac
Δ = -602-4·1·(-2700)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-120}{2*1}=\frac{-60}{2}
=-30
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+120}{2*1}=\frac{180}{2}
=90
$