X2-3x-1404=0

Solution for X2-3x-1404=0 equation:

X2-3X-1404=0

We add all the numbers together, and all the variables

X^2-3X-1404=0

a = 1; b = -3; c = -1404;
Δ = b2-4ac
Δ = -32-4·1·(-1404)
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-75}{2*1}=\frac{-72}{2}
=-36
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+75}{2*1}=\frac{78}{2}
=39
$