-x^2+96x+374=0

Solution for -x^2+96x+374=0 equation:

-x^2+96x+374=0

We add all the numbers together, and all the variables

-1x^2+96x+374=0

a = -1; b = 96; c = +374;
Δ = b2-4ac
Δ = 962-4·(-1)·374
Δ = 10712
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{10712}=\sqrt{4*2678}=\sqrt{4}*\sqrt{2678}=2\sqrt{2678}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(96)-2\sqrt{2678}}{2*-1}=\frac{-96-2\sqrt{2678}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(96)+2\sqrt{2678}}{2*-1}=\frac{-96+2\sqrt{2678}}{-2}
$