0.0855t^2-0.912t+1.774=0

Solution for 0.0855t^2-0.912t+1.774=0 equation:

0.0855t^2-0.912t+1.774=0

a = 0.0855; b = -0.912; c = +1.774;
Δ = b2-4ac
Δ = -0.9122-4·0.0855·1.774
Δ = 0.225036
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{-(-0.912)-\sqrt{0.225036}}{2*0.0855}=\frac{0.912-\sqrt{0.225036}}{0.171}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.912)+\sqrt{0.225036}}{2*0.0855}=\frac{0.912+\sqrt{0.225036}}{0.171}
$