find the value of (x+1/x)^2-(x-1/x)^2 if x=4- √15
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Answer:
16+4√15
Step-by-step explanation:
By using a²-b² = (a+b)(a-b)
⇒ [(x+1)/x+(x-1)/x] × [(x+1)/x-(x-1)/x]
= [(x+1+x-1)/x] × [( x+1-x+1)/x]
= [2x/x] × [ 2/x ]
⇒ 4/x
Now substituting value of x.
∴ 4/(4-√15) .... rationalizing it
⇒ 16+√15
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ratnakaraner:
It's not x+1 while divided by x
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