if x2+1upon x2-7then the value of x3+1 upon x3 is
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Step-by-step explanation:
Given Equation is x² + (1/x²) = 7.
It can be written as,
⇒ x² + (1/x²) = 9 - 2
⇒ x² + (1/x²) + 2 = 9
⇒ (x + 1/x)² = 9
⇒ x + 1/x = 3.
On cubing both sides, we get
⇒ (x + 1/x)³ = (3)³
⇒ x³ + 1/x³ + 3(x + 1/x) = 27
⇒ x³ + 1/x³ + 3(3) = 27
⇒ x³ + 1/x³ + 9 = 27
⇒ x³ + 1/x³ = 18.
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