X^2-65x-784=0

Solution for X^2-65x-784=0 equation:

X^2-65X-784=0

a = 1; b = -65; c = -784;
Δ = b2-4ac
Δ = -652-4·1·(-784)
Δ = 7361
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{-(-65)-\sqrt{7361}}{2*1}=\frac{65-\sqrt{7361}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-65)+\sqrt{7361}}{2*1}=\frac{65+\sqrt{7361}}{2}
$