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0=-16t^2+14400
We move all terms to the left:
0-(-16t^2+14400)=0
We add all the numbers together, and all the variables
-(-16t^2+14400)=0
We get rid of parentheses
16t^2-14400=0
a = 16; b = 0; c = -14400;
Δ = b2-4ac
Δ = 02-4·16·(-14400)
Δ = 921600
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}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{921600}=960$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-960}{2*16}=\frac{-960}{32} =-30 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+960}{2*16}=\frac{960}{32} =30 $
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