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0=1.4t^2-20t
We move all terms to the left:
0-(1.4t^2-20t)=0
We add all the numbers together, and all the variables
-(1.4t^2-20t)=0
We get rid of parentheses
-1.4t^2+20t=0
a = -1.4; b = 20; c = 0;
Δ = b2-4ac
Δ = 202-4·(-1.4)·0
Δ = 400
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{400}=20$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-20}{2*-1.4}=\frac{-40}{-2.8} =14+0.8/2.8 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+20}{2*-1.4}=\frac{0}{-2.8} =0 $
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