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xxlydia777 xxlydia777
  • 18-08-2015
  • Mathematics
Answered

solve for x

(1/x) - (2x/(1+x^2)) = 0

Verified Answer :

konrad509
konrad509 konrad509
  • 18-08-2015

\(D:x ot=0 \wedge 1+x^2 ot=0\\ D:x ot =0\\\\ \dfrac{1}{x}-\dfrac{2x}{1+x^2}=0|\cdot x(1+x^2)\\ 1+x^2-2x^2=0\\ 1-x^2=0\\ x^2=1\\ x=-1 \vee x=1\)

Answer Link
Anonymous Anonymous
  • 18-08-2015

(1/x) - (2x/(1+x^2)) = 0


Multiply by x(x^2+1)

1(x^2+1)+(−2x)(x)=0x(x2+1)

−x^2+1=0(Simplify both sides of the equation)

−x^2+1−1=0−1(Subtract 1 from both sides)

−x^2=−1

−x^2−1=−1−1(Divide both sides by -1)

x^2=1

x=ñ1(Take square root)

x=1 or x=−1

Answer Link

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