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0.1x^2+2x+10=10
We move all terms to the left:
0.1x^2+2x+10-(10)=0
We add all the numbers together, and all the variables
0.1x^2+2x=0
a = 0.1; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·0.1·0
Δ = 4
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{4}=2$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*0.1}=\frac{-4}{0.2} =-20 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*0.1}=\frac{0}{0.2} =0 $
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