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0=70t-50t^2
We move all terms to the left:
0-(70t-50t^2)=0
We add all the numbers together, and all the variables
-(70t-50t^2)=0
We get rid of parentheses
50t^2-70t=0
a = 50; b = -70; c = 0;
Δ = b2-4ac
Δ = -702-4·50·0
Δ = 4900
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{4900}=70$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-70}{2*50}=\frac{0}{100} =0 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+70}{2*50}=\frac{140}{100} =1+2/5 $
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