-854t^2+64000t-150000=0

Solution for -854t^2+64000t-150000=0 equation:

-854t^2+64000t-150000=0

a = -854; b = 64000; c = -150000;
Δ = b2-4ac
Δ = 640002-4·(-854)·(-150000)
Δ = 3583600000
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:

$\sqrt{\Delta}=\sqrt{3583600000}=\sqrt{11560000*310}=\sqrt{11560000}*\sqrt{310}=3400\sqrt{310}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(64000)-3400\sqrt{310}}{2*-854}=\frac{-64000-3400\sqrt{310}}{-1708}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(64000)+3400\sqrt{310}}{2*-854}=\frac{-64000+3400\sqrt{310}}{-1708}
$