380160=t2

Solution for 380160=t2 equation:

380160=t2

We move all terms to the left:

380160-(t2)=0

We add all the numbers together, and all the variables

-1t^2+380160=0

a = -1; b = 0; c = +380160;
Δ = b2-4ac
Δ = 02-4·(-1)·380160
Δ = 1520640
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1520640}=\sqrt{9216*165}=\sqrt{9216}*\sqrt{165}=96\sqrt{165}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96\sqrt{165}}{2*-1}=\frac{0-96\sqrt{165}}{-2}
=-\frac{96\sqrt{165}}{-2}
=-\frac{48\sqrt{165}}{-1}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96\sqrt{165}}{2*-1}=\frac{0+96\sqrt{165}}{-2}
=\frac{96\sqrt{165}}{-2}
=\frac{48\sqrt{165}}{-1}
$