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2=20/(x^2+2)
We move all terms to the left:
2-(20/(x^2+2))=0
Domain of the equation: (x^2+2))!=0We multiply all the terms by the denominator
x∈R
-(20+2*(x^2+2))=0
We calculate terms in parentheses: -(20+2*(x^2+2)), so:We get rid of parentheses
20+2*(x^2+2)
determiningTheFunctionDomain 2*(x^2+2)+20
We multiply parentheses
2x^2+4+20
We add all the numbers together, and all the variables
2x^2+24
Back to the equation:
-(2x^2+24)
-2x^2-24=0
a = -2; b = 0; c = -24;
Δ = b2-4ac
Δ = 02-4·(-2)·(-24)
Δ = -192
Delta is less than zero, so there is no solution for the equation
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