t*t+67.76t-235.11=0

Solution for t*t+67.76t-235.11=0 equation:

t*t+67.76t-235.11=0

We add all the numbers together, and all the variables

67.76t+t*t-235.11=0

Wy multiply elements

t^2+67.76t-235.11=0

a = 1; b = 67.76; c = -235.11;
Δ = b2-4ac
Δ = 67.762-4·1·(-235.11)
Δ = 5531.8576
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{-(67.76)-\sqrt{5531.8576}}{2*1}=\frac{-67.76-\sqrt{5531.8576}}{2}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(67.76)+\sqrt{5531.8576}}{2*1}=\frac{-67.76+\sqrt{5531.8576}}{2}
$