-6x^2+121,5=0

Solution for -6x^2+121,5=0 equation:

-6x^2+121.5=0

a = -6; b = 0; c = +121.5;
Δ = b2-4ac
Δ = 02-4·(-6)·121.5
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-54}{2*-6}=\frac{-54}{-12}
=4+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+54}{2*-6}=\frac{54}{-12}
=-4+1/2
$