X2+3x-504=0

Solution for X2+3x-504=0 equation:

X2+3X-504=0

We add all the numbers together, and all the variables

X^2+3X-504=0

a = 1; b = 3; c = -504;
Δ = b2-4ac
Δ = 32-4·1·(-504)
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-45}{2*1}=\frac{-48}{2}
=-24
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+45}{2*1}=\frac{42}{2}
=21
$