1.

X2 + 1/x² = 27 find x​

Answer»

Step-by-step EXPLANATION:

[x - 1/x]² = x² + 1/x² - 2

=> [x - 1/x]² = 25

=> x - 1/x = 5

=> x² - 1 = 5X

=> x² - 5x - 1 = 0

=> x = 5 ± √(25 + 4)/ 2

=> x = [5 ± √29] / 2

=> x = [5 + √29]/2 and x = [5 - √29]/2


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