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0=-0.01x^2+0.3x+2
We move all terms to the left:
0-(-0.01x^2+0.3x+2)=0
We add all the numbers together, and all the variables
-(-0.01x^2+0.3x+2)=0
We get rid of parentheses
0.01x^2-0.3x-2=0
a = 0.01; b = -0.3; c = -2;
Δ = b2-4ac
Δ = -0.32-4·0.01·(-2)
Δ = 0.17
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-0.3)-\sqrt{0.17}}{2*0.01}=\frac{0.3-\sqrt{0.17}}{0.02} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.3)+\sqrt{0.17}}{2*0.01}=\frac{0.3+\sqrt{0.17}}{0.02} $
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