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-160=-16t^2+144t
We move all terms to the left:
-160-(-16t^2+144t)=0
We get rid of parentheses
16t^2-144t-160=0
a = 16; b = -144; c = -160;
Δ = b2-4ac
Δ = -1442-4·16·(-160)
Δ = 30976
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{30976}=176$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-144)-176}{2*16}=\frac{-32}{32} =-1 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-144)+176}{2*16}=\frac{320}{32} =10 $
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