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0=-3.5t^2+210t
We move all terms to the left:
0-(-3.5t^2+210t)=0
We add all the numbers together, and all the variables
-(-3.5t^2+210t)=0
We get rid of parentheses
3.5t^2-210t=0
a = 3.5; b = -210; c = 0;
Δ = b2-4ac
Δ = -2102-4·3.5·0
Δ = 44100
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{44100}=210$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-210)-210}{2*3.5}=\frac{0}{7} =0 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-210)+210}{2*3.5}=\frac{420}{7} =60 $
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