x2+5x-2250=0

Solution for x2+5x-2250=0 equation:

x2+5x-2250=0

We add all the numbers together, and all the variables

x^2+5x-2250=0

a = 1; b = 5; c = -2250;
Δ = b2-4ac
Δ = 52-4·1·(-2250)
Δ = 9025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9025}=95$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-95}{2*1}=\frac{-100}{2}
=-50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+95}{2*1}=\frac{90}{2}
=45
$