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0=-0.11t^2+4t+7.2
We move all terms to the left:
0-(-0.11t^2+4t+7.2)=0
We add all the numbers together, and all the variables
-(-0.11t^2+4t+7.2)=0
We get rid of parentheses
0.11t^2-4t-7.2=0
a = 0.11; b = -4; c = -7.2;
Δ = b2-4ac
Δ = -42-4·0.11·(-7.2)
Δ = 19.168
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}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-\sqrt{19.168}}{2*0.11}=\frac{4-\sqrt{19.168}}{0.22} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+\sqrt{19.168}}{2*0.11}=\frac{4+\sqrt{19.168}}{0.22} $
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