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20=4.9t^2-25t+0
We move all terms to the left:
20-(4.9t^2-25t+0)=0
We get rid of parentheses
-4.9t^2+25t-0+20=0
We add all the numbers together, and all the variables
-4.9t^2+25t+20=0
a = -4.9; b = 25; c = +20;
Δ = b2-4ac
Δ = 252-4·(-4.9)·20
Δ = 1017
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}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1017}=\sqrt{9*113}=\sqrt{9}*\sqrt{113}=3\sqrt{113}$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-3\sqrt{113}}{2*-4.9}=\frac{-25-3\sqrt{113}}{-9.8} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+3\sqrt{113}}{2*-4.9}=\frac{-25+3\sqrt{113}}{-9.8} $
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