X + 1/x = 31, then x2 + 1/ x2 = ?.

1.	X + 1/x = 31, then x2 + 1/ x2 = ?.
Answer» ANSWER: Step-by-step EXPLANATION: Given x-1/x = 3---(1) On SQUARING equation (1), we get => (x-1/x)² = 3² => x²+1/x²-2x(1/x) = 9 /* By algebraic identity : (a-b)² = a²+b²-2ab */ => x²+1/x² - 2 = 9 => x² + 1/x² = 9 +2 => x² + 1/x² = 11 Therefore, x²+1/x² = 11

Answer»

ANSWER:

Step-by-step EXPLANATION:

Given

x-1/x = 3---(1)

On SQUARING equation (1), we get

=> (x-1/x)² = 3²

=> x²+1/x²-2*x*(1/x) = 9

/* By algebraic identity :

(a-b)² = a²+b²-2ab */

=> x²+1/x² - 2 = 9

=> x² + 1/x² = 9 +2

=> x² + 1/x² = 11

Therefore,

x²+1/x² = 11

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X + 1/x = 31, then x2 + 1/ x2 = ?.​

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X + 1/x = 31, then x2 + 1/ x2 = ?.