x^2-3x-3780=0

Solution for x^2-3x-3780=0 equation:

x^2-3x-3780=0

a = 1; b = -3; c = -3780;
Δ = b2-4ac
Δ = -32-4·1·(-3780)
Δ = 15129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15129}=123$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-123}{2*1}=\frac{-120}{2}
=-60
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+123}{2*1}=\frac{126}{2}
=63
$