x^2-10X-651=0

Solution for x^2-10X-651=0 equation:

x^2-10x-651=0

a = 1; b = -10; c = -651;
Δ = b2-4ac
Δ = -102-4·1·(-651)
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-52}{2*1}=\frac{-42}{2}
=-21
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+52}{2*1}=\frac{62}{2}
=31
$