Find the value of x – 1/x, If x^2 + 1/x^2 = 18.
. If x + 1/x = 7, then find the value of x^3 + 1/x^3
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Answer:
x - 1/x = 4
Step-by-step explanation:
FInd the value of x - 1/x
x² + 1/x² = 18
(x - 1/x)² = (x)² + (1/x)² - 2(x)(1/x)
(x - 1/x)²= x² + 1/x² - 2
(x - 1/x)²= 18 - 2
(x - 1/x)²= 16
x - 1/x = √16
x - 1/x = 4
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