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0=16t(25-t)
We move all terms to the left:
0-(16t(25-t))=0
We add all the numbers together, and all the variables
-(16t(-1t+25))+0=0
We add all the numbers together, and all the variables
-(16t(-1t+25))=0
We calculate terms in parentheses: -(16t(-1t+25)), so:We get rid of parentheses
16t(-1t+25)
We multiply parentheses
-16t^2+400t
Back to the equation:
-(-16t^2+400t)
16t^2-400t=0
a = 16; b = -400; c = 0;
Δ = b2-4ac
Δ = -4002-4·16·0
Δ = 160000
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{160000}=400$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-400)-400}{2*16}=\frac{0}{32} =0 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-400)+400}{2*16}=\frac{800}{32} =25 $
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