-0.85t^2+27.5t-175=0

Solution for -0.85t^2+27.5t-175=0 equation:

-0.85t^2+27.5t-175=0

a = -0.85; b = 27.5; c = -175;
Δ = b2-4ac
Δ = 27.52-4·(-0.85)·(-175)
Δ = 161.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(27.5)-\sqrt{161.25}}{2*-0.85}=\frac{-27.5-\sqrt{161.25}}{-1.7}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27.5)+\sqrt{161.25}}{2*-0.85}=\frac{-27.5+\sqrt{161.25}}{-1.7}
$