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3t^2+9t-11=0
a = 3; b = 9; c = -11;
Δ = b2-4ac
Δ = 92-4·3·(-11)
Δ = 213
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{-(9)-\sqrt{213}}{2*3}=\frac{-9-\sqrt{213}}{6} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{213}}{2*3}=\frac{-9+\sqrt{213}}{6} $
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