x^2+3x=10000

Solution for x^2+3x=10000 equation:

x^2+3x=10000

We move all terms to the left:

x^2+3x-(10000)=0

a = 1; b = 3; c = -10000;
Δ = b2-4ac
Δ = 32-4·1·(-10000)
Δ = 40009
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{40009}}{2*1}=\frac{-3-\sqrt{40009}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{40009}}{2*1}=\frac{-3+\sqrt{40009}}{2}
$