121k^2-390k+81=0

Solution for 121k^2-390k+81=0 equation:

121k^2-390k+81=0

a = 121; b = -390; c = +81;
Δ = b2-4ac
Δ = -3902-4·121·81
Δ = 112896
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{112896}=336$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-390)-336}{2*121}=\frac{54}{242}
=27/121
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-390)+336}{2*121}=\frac{726}{242}
=3
$