if x = 5 - root 2 , then find x - 1/x
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Answer:
x=5-√2
1/x=1/(5-√2)
=(5+√2)/(5-√2)(5+√2)
=(5+√2)/(5^2-√2^2)
=(5+√2)/(25-2)
=(5+√2)/23
x-1/x=(5-√2)-(5+√2)/23
={23(5-√2)-(5+√2)}/23
=(115-23√2-5-√2)/23
=(110-24/√2)/23