1875-50x-x^2=0

Solution for 1875-50x-x^2=0 equation:

1875-50x-x^2=0

We add all the numbers together, and all the variables

-1x^2-50x+1875=0

a = -1; b = -50; c = +1875;
Δ = b2-4ac
Δ = -502-4·(-1)·1875
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{-(-50)-100}{2*-1}=\frac{-50}{-2}
=+25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+100}{2*-1}=\frac{150}{-2}
=-75
$