216/(t^2)=6

Solution for 216/(t^2)=6 equation:

216/(t^2)=6

We move all terms to the left:

216/(t^2)-(6)=0


Domain of the equation: t^2!=0

t^2!=0/

t^2!=√0

t!=0

t∈R


We multiply all the terms by the denominator


-6*t^2+216=0

We add all the numbers together, and all the variables

-6t^2+216=0

a = -6; b = 0; c = +216;
Δ = b2-4ac
Δ = 02-4·(-6)·216
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72}{2*-6}=\frac{-72}{-12}
=+6
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72}{2*-6}=\frac{72}{-12}
=-6
$