6x^2=121,5

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

6x^2=121.5

We move all terms to the left:

6x^2-(121.5)=0

We add all the numbers together, and all the variables

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
$