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39=(x^2/200)+x-2
We move all terms to the left:
39-((x^2/200)+x-2)=0
Domain of the equation: 200)+x-2)!=0We multiply all the terms by the denominator
x!=0/1
x!=0
x∈R
-((x^2+39*200)+x-2)=0
We calculate terms in parentheses: -((x^2+39*200)+x-2), so:We get rid of parentheses
(x^2+39*200)+x-2
We add all the numbers together, and all the variables
x+(x^2+39*200)-2
We get rid of parentheses
x^2+x-2+39*200
We add all the numbers together, and all the variables
x^2+x+7798
Back to the equation:
-(x^2+x+7798)
-x^2-x-7798=0
We add all the numbers together, and all the variables
-1x^2-1x-7798=0
a = -1; b = -1; c = -7798;
Δ = b2-4ac
Δ = -12-4·(-1)·(-7798)
Δ = -31191
Delta is less than zero, so there is no solution for the equation
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