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0=100t-16t^2
We move all terms to the left:
0-(100t-16t^2)=0
We add all the numbers together, and all the variables
-(100t-16t^2)=0
We get rid of parentheses
16t^2-100t=0
a = 16; b = -100; c = 0;
Δ = b2-4ac
Δ = -1002-4·16·0
Δ = 10000
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{10000}=100$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-100}{2*16}=\frac{0}{32} =0 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+100}{2*16}=\frac{200}{32} =6+1/4 $
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