121*(x*x)=289

Solution for 121*(x*x)=289 equation:

121(x*x)=289

We move all terms to the left:

121(x*x)-(289)=0

We add all the numbers together, and all the variables

121(+x*x)-289=0

We multiply parentheses

121x^2-289=0

a = 121; b = 0; c = -289;
Δ = b2-4ac
Δ = 02-4·121·(-289)
Δ = 139876
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{139876}=374$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-374}{2*121}=\frac{-374}{242}
=-1+6/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+374}{2*121}=\frac{374}{242}
=1+6/11
$