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93=201t-16t(2)
We move all terms to the left:
93-(201t-16t(2))=0
We add all the numbers together, and all the variables
-(+201t-16t^2)+93=0
We get rid of parentheses
16t^2-201t+93=0
a = 16; b = -201; c = +93;
Δ = b2-4ac
Δ = -2012-4·16·93
Δ = 34449
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{-(-201)-\sqrt{34449}}{2*16}=\frac{201-\sqrt{34449}}{32} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-201)+\sqrt{34449}}{2*16}=\frac{201+\sqrt{34449}}{32} $
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