12x2-121=0

Solution for 12x2-121=0 equation:

12x^2-121=0

a = 12; b = 0; c = -121;
Δ = b2-4ac
Δ = 02-4·12·(-121)
Δ = 5808
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{5808}=\sqrt{1936*3}=\sqrt{1936}*\sqrt{3}=44\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-44\sqrt{3}}{2*12}=\frac{0-44\sqrt{3}}{24}
=-\frac{44\sqrt{3}}{24}
=-\frac{11\sqrt{3}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+44\sqrt{3}}{2*12}=\frac{0+44\sqrt{3}}{24}
=\frac{44\sqrt{3}}{24}
=\frac{11\sqrt{3}}{6}
$