Math, asked by khushi1121, 1 year ago

If x = 3 + √8 find the value of x + 1 / x

Answers

Answered by AJAYMAHICH
2
 x = 3 + root8

x2 = 9 + 8 + 6root8

x2 = 17 + 6root8

1/x2 = 1/17 + 6root8

1/x2 = 17 - 6roo8/1    ( by rationalising the denominator we get this..)

1/x2 = 17 - 6root8

now,

x2 + 1/x2 = 17 + 6root8 + 17 - 6root8

x2 + 1/x2 = 34

then (x+1/x) square = x2 + 2 + 1/x square

(x+1/x) square = 34 + 2

(x+1/x) square = 36

then x+1/x = +6 or -6

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