144t^2-100=0

Solution for 144t^2-100=0 equation:

144t^2-100=0

a = 144; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·144·(-100)
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*144}=\frac{-240}{288}
=-5/6
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*144}=\frac{240}{288}
=5/6
$