9x^2-100x+100=0

Solution for 9x^2-100x+100=0 equation:

9x^2-100x+100=0

a = 9; b = -100; c = +100;
Δ = b2-4ac
Δ = -1002-4·9·100
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-80}{2*9}=\frac{20}{18}
=1+1/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+80}{2*9}=\frac{180}{18}
=10
$