X^2-101x+100=0

Solution for X^2-101x+100=0 equation:

X^2-101X+100=0

a = 1; b = -101; c = +100;
Δ = b2-4ac
Δ = -1012-4·1·100
Δ = 9801
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9801}=99$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-101)-99}{2*1}=\frac{2}{2}
=1
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-101)+99}{2*1}=\frac{200}{2}
=100
$