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anonymous
 one year ago
3/x+2 +2/x2=8/(x+2)(x2)
Solve and tell if its extraneous
anonymous
 one year ago
3/x+2 +2/x2=8/(x+2)(x2) Solve and tell if its extraneous

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now you can have extraneous solutions because you have denominators

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{x}{x+2}+\frac{2}{x2}=\frac{8}{(x+2)(x2)}\] you have a choice, you can either add on the left, or multiply both sides by \((x+2)(x2)\) to clear the fractions

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok then the \((x+2)(x2)\) cancels on the right leaving \(8\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0on the left the first term will be \(x(x2)\) and the second term will be \(2(x+2)\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0by cancelling that leaves you with the equation \[x(x2)+2(x+2)=8\] multiply out and solve the resulting quadratic

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x^22x+2x+4=8 x^2+4=8 x^2=4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok and if \(x^2=4\) then \(x=?\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0BOTH are extraneous, because both values would make the denominator equal to zero
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