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325=0.0068t^2-0.14t+6.29
We move all terms to the left:
325-(0.0068t^2-0.14t+6.29)=0
We get rid of parentheses
-0.0068t^2+0.14t-6.29+325=0
We add all the numbers together, and all the variables
-0.0068t^2+0.14t+318.71=0
a = -0.0068; b = 0.14; c = +318.71;
Δ = b2-4ac
Δ = 0.142-4·(-0.0068)·318.71
Δ = 8.688512
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{-(0.14)-\sqrt{8.688512}}{2*-0.0068}=\frac{-0.14-\sqrt{8.688512}}{-0.0136} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.14)+\sqrt{8.688512}}{2*-0.0068}=\frac{-0.14+\sqrt{8.688512}}{-0.0136} $
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