0=164t-16t^2

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Solution for 0=164t-16t^2 equation:



0=164t-16t^2
We move all terms to the left:
0-(164t-16t^2)=0
We add all the numbers together, and all the variables
-(164t-16t^2)=0
We get rid of parentheses
16t^2-164t=0
a = 16; b = -164; c = 0;
Δ = b2-4ac
Δ = -1642-4·16·0
Δ = 26896
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{26896}=164$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-164)-164}{2*16}=\frac{0}{32} =0 $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-164)+164}{2*16}=\frac{328}{32} =10+1/4 $

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