x^2-21x-1372=0

Solution for x^2-21x-1372=0 equation:

x^2-21x-1372=0

a = 1; b = -21; c = -1372;
Δ = b2-4ac
Δ = -212-4·1·(-1372)
Δ = 5929
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5929}=77$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-21)-77}{2*1}=\frac{-56}{2}
=-28
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+77}{2*1}=\frac{98}{2}
=49
$