X^(2)-36x-299=0

Solution for X^(2)-36x-299=0 equation:

X^(2)-36X-299=0

a = 1; b = -36; c = -299;
Δ = b2-4ac
Δ = -362-4·1·(-299)
Δ = 2492
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:

$\sqrt{\Delta}=\sqrt{2492}=\sqrt{4*623}=\sqrt{4}*\sqrt{623}=2\sqrt{623}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-2\sqrt{623}}{2*1}=\frac{36-2\sqrt{623}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+2\sqrt{623}}{2*1}=\frac{36+2\sqrt{623}}{2}
$