Math, asked by handeljonathan1, 11 months ago

x-1/x=√3, find x^2+ 1/x^2


Anonymous: 7.

Answers

Answered by Rajeshkumare
1
\left[x _{1}\right] = \left[ - \sqrt[4]{\left( -1\right) }\right][x​1​​]=[−​4​​√​(−1)​​​]


\left[x _{1}\right] = \left[ \frac{sqrt3}{2}+\frac{ - \sqrt{\left( 4+sqrt3^{2}\right) }}{2}\right][x​1​​]=[​2​​sqrt3​​+​2​​−√​(4+sqrt3​2​​)​​​​​]
Answered by Anonymous
1
Hi Mate!!!

Formula ( x² + 1 / x² ) = ( x - 1 / x )² +2

= ( x² + 1 / x² ) = ( √3 ) ² + 2

= ( x² + 1 / x² ) = 5

Have a nice time..

Rajeshkumare: yes
handeljonathan1: why +4??
Anonymous: it is not + 4 but it. is +2
handeljonathan1: ???
Anonymous: it is a formula......u can check it as well ......
Anonymous: do wana proof of it?
handeljonathan1: yes pls
Anonymous: ok
Anonymous: given formulla is. ( x² + 1 /x² ) = ( x - 1 / x )² + 2.......... Taking R.H.S. i,e. ( x - 1 / x )² + 2..........= x² + 1 / x² - 2 + 2 ......=. x² + 1 /x² that's equal to L.H.S. L.H.S = R.H.S hence proved..
Anonymous: we know that ( a - b )² = a²+ b² - 2ab
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