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| 1. |
If x²+1/x²=3, find the value of x+1/x. |
| Answer» 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 | |