-x^2+175x+4116=2862

Solution for -x^2+175x+4116=2862 equation:

-x^2+175x+4116=2862

We move all terms to the left:

-x^2+175x+4116-(2862)=0

We add all the numbers together, and all the variables

-1x^2+175x+1254=0

a = -1; b = 175; c = +1254;
Δ = b2-4ac
Δ = 1752-4·(-1)·1254
Δ = 35641
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{-(175)-\sqrt{35641}}{2*-1}=\frac{-175-\sqrt{35641}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(175)+\sqrt{35641}}{2*-1}=\frac{-175+\sqrt{35641}}{-2}
$