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0=-0.01x^2+1.22x+3
We move all terms to the left:
0-(-0.01x^2+1.22x+3)=0
We add all the numbers together, and all the variables
-(-0.01x^2+1.22x+3)=0
We get rid of parentheses
0.01x^2-1.22x-3=0
a = 0.01; b = -1.22; c = -3;
Δ = b2-4ac
Δ = -1.222-4·0.01·(-3)
Δ = 1.6084
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{-(-1.22)-\sqrt{1.6084}}{2*0.01}=\frac{1.22-\sqrt{1.6084}}{0.02} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.22)+\sqrt{1.6084}}{2*0.01}=\frac{1.22+\sqrt{1.6084}}{0.02} $
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