x^2+10x-2475=0

Solution for x^2+10x-2475=0 equation:

x^2+10x-2475=0

a = 1; b = 10; c = -2475;
Δ = b2-4ac
Δ = 102-4·1·(-2475)
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-100}{2*1}=\frac{-110}{2}
=-55
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+100}{2*1}=\frac{90}{2}
=45
$