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2t^2-3t-12=0
a = 2; b = -3; c = -12;
Δ = b2-4ac
Δ = -32-4·2·(-12)
Δ = 105
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{-(-3)-\sqrt{105}}{2*2}=\frac{3-\sqrt{105}}{4} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{105}}{2*2}=\frac{3+\sqrt{105}}{4} $
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