Question

X^+1/x^=14 find xcube+1/x cube

Answer 1

Given

x + 1/x = 14

Find the value of x³ + 1/x³

Solution

• x + 1/x = 14

✎ Cube both side

→ (x + 1/x)³ = (14)³

→ x³ + 1/x³ + 3*x*1/x(x + 1/x) = 2744

→ x³ + 1/x³ + 3 × 14 = 2744

→ x³ + 1/x³ + 42 = 2744

→ x³ + 1/x³ = 2744 - 42

→ x³ + 1/x³ = 2702

Some identities

• (a + b)² = a² + b² + 2ab
• (a - b)² = a² + b² - 2ab
• a² - b² = (a + b)(a - b)

Answer 2

Answer:

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