Math, asked by swetapadmabehera1999, 8 months ago

x = 5 - 2√2 find the value of x- 1/x

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Answered by sonusharma45

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Answered by malollan

First we need to calculate 1/x
1/x=1/5-2root2
By rationalising , we get
5+2root2/(5-2root2)(5+2root2)
=5+2root2/25-8
=5+2root2/17
x=5-2root2
x+1/x
=5-2root2- (5+2root2)/17
=[85-34root2-5-2root2]/17
=80-36root2/17

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x = 5 - 2√2 find the value of x- 1/x​

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x = 5 - 2√2 find the value of x- 1/x