64=121(x)^2

Solution for 64=121(x)^2 equation:

64=121(x)^2

We move all terms to the left:

64-(121(x)^2)=0

determiningTheFunctionDomain
-121x^2+64=0

a = -121; b = 0; c = +64;
Δ = b2-4ac
Δ = 02-4·(-121)·64
Δ = 30976
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{30976}=176$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-176}{2*-121}=\frac{-176}{-242}
=8/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+176}{2*-121}=\frac{176}{-242}
=-8/11
$