-x2-45x+324=0

Solution for -x2-45x+324=0 equation:

-x2-45x+324=0

We add all the numbers together, and all the variables

-1x^2-45x+324=0

a = -1; b = -45; c = +324;
Δ = b2-4ac
Δ = -452-4·(-1)·324
Δ = 3321
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:

$\sqrt{\Delta}=\sqrt{3321}=\sqrt{81*41}=\sqrt{81}*\sqrt{41}=9\sqrt{41}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-9\sqrt{41}}{2*-1}=\frac{45-9\sqrt{41}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+9\sqrt{41}}{2*-1}=\frac{45+9\sqrt{41}}{-2}
$