0.0765t^2-0.894t+1.854=0

Solution for 0.0765t^2-0.894t+1.854=0 equation:

0.0765t^2-0.894t+1.854=0

a = 0.0765; b = -0.894; c = +1.854;
Δ = b2-4ac
Δ = -0.8942-4·0.0765·1.854
Δ = 0.231912
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{-(-0.894)-\sqrt{0.231912}}{2*0.0765}=\frac{0.894-\sqrt{0.231912}}{0.153}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.894)+\sqrt{0.231912}}{2*0.0765}=\frac{0.894+\sqrt{0.231912}}{0.153}
$