if x+1/x=3. then find x²+1/x²
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If X+1/x = 3 then what is the value of x²+1/x² =?
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Answered December 14, 2018
If X+1/x = 3 then what is the value of x²+1/x² =?
X + 1/x = 3…(i)
We know , (X+1/x)^2 = x^2 + (1/x)^2 + 2(x * 1/x)
=> (X+1/x)^2 = x^2 + (1/x)^2 + 2
Substituting value from (i) (3)^2 = x^2+(1/x)^2+2
= 9–2 = x^2+(1/x)^2
Ans. X^2 + (1/x)^2 = 7
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