Question

if x=3+√8 rhen find x^3-(1/x^3).
please solve fast
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Answer 1

Given : If x=3+√8 then find the value of x³-1/x³

To Find : The value of x³-1/x³ when the value of x=3+√8

Solution :By substituting the value of x into it

values : x=3+√8,findx³-1/x³

x³-1/x³= 3+√8-1/3+√8

→ LCM is 3+√8

→ [ 3+√8]²-1/3+√8

→[3]²+[√8]²+2×3×√8-1/3+√8

→ [9+8+6√8-1/3+√8]

→17-1+6√8/3+√8

→16+6√8/3+√8

Solution Part 2:

→ Now we should rationalise the denominator

→16+6√8×3-√8

3+√8×3-√8

→48-16√8+18√8-48

[3]²-[8]²

→ 2√8

9-8

→ 2√8

1

Value of x is 2√8

[x-1/x]³=[2√8]³

x³-1/x³+2√8=181

x³-1/x³=181-2√8

x³-1/x³=181-175

x³-1/x³=6

Answer 2

ap aarav pandey 827

me thanks dena