If x square +1\x square =3,find the value of x+1/x

Question

If x square +1\x square =3,find the value of x+1/x

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Parker 2 weeks 2021-09-04T03:29:50+00:00 1 Answer 0 views 0

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    2021-09-04T03:31:37+00:00

    Answer:

    \large{\bold{2\sqrt2 \;\;,\;\;-2\sqrt2 }}

    Step-by-step explanation:

    FORMULA\\\\(a+b)^2=a^2+b^2+2ab\\\\Given\\\\x^2+\frac{1}{x^2}=3\\\\Consider\\\\(x+\frac{1}{x})^2\\\\=x^2+\frac{1}{x^2}+2\times x\times \frac{1}{x}\\\\=x^2+\frac{1}{x^2}+2\\\\=3+5\\\\=8\\\\=>(x+\frac{1}{x})^2=8\\\\Taking\;SQUARE\;root\\\\=>|x+\frac{1}{x}|=2\sqrt{2}\\\\If\;x>0\\\\=>x+\frac{1}{x}=2\sqrt2 \\\\If\;\;x<0\\\\=>x+\frac{1}{x}=-2\sqrt2\\\\

    HOPE IT HELPS

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