100x2-60x+9=121

Solution for 100x2-60x+9=121 equation:

100x^2-60x+9=121

We move all terms to the left:

100x^2-60x+9-(121)=0

We add all the numbers together, and all the variables

100x^2-60x-112=0

a = 100; b = -60; c = -112;
Δ = b2-4ac
Δ = -602-4·100·(-112)
Δ = 48400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{48400}=220$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-220}{2*100}=\frac{-160}{200}
=-4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+220}{2*100}=\frac{280}{200}
=1+2/5
$