if x+1/x =6 find x^2+1/x^2
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it may be helpful for uu..
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Hey....!!! here's ur answer...
Given that...
x+1/x = 6....(1)
We know that, (x+1/x)² = x²+1/x²+x.1/x
[ As we know that..(a+b)² = a²+b²–2ab ]
=> (x+1/x)² = x²+1/x²+1
=> (6)² = x²+1/x²+1 [ from equation (1) ]
=> 36 = x²+1/x²+1
=> x²+1/x² = 36–1
=>x²+1/x² = 35 <<<<Ans.
I hope it will be helpful for you..!!
THANK YOU...
Given that...
x+1/x = 6....(1)
We know that, (x+1/x)² = x²+1/x²+x.1/x
[ As we know that..(a+b)² = a²+b²–2ab ]
=> (x+1/x)² = x²+1/x²+1
=> (6)² = x²+1/x²+1 [ from equation (1) ]
=> 36 = x²+1/x²+1
=> x²+1/x² = 36–1
=>x²+1/x² = 35 <<<<Ans.
I hope it will be helpful for you..!!
THANK YOU...
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