Question

X - 1/x = 9, find value of x^2 + 1/x^2

Answer 1

Answer:

11

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Answer 2

Step-by-step explanation:

x - 1/x = 9

squaring both sides

(x - 1/x)^2 = 9^2

now using property - (a-b)^2 = a^2 + b^2 - 2ab

x^2 + 1/x^2 -2(x)(1/x) = 81

x^2 + 1/x^2 - 2 = 81

x^2 + 1/x^2 = 81 + 2

x^2 + 1/x^2 = 83