2021 · Q98
If p + 1/p = 4 then what is the value of p² + 1/p²?
Elementary MathematicsAlgebra
- A10
- B14
- C21
- D9
Explanation
Squaring both sides: (p + 1/p)² = p² + 1/p² + 2 = 16. Subtracting 2 from both sides gives p² + 1/p² = 14. Hence option B.
If p + 1/p = 4 then what is the value of p² + 1/p²?
Explanation
Squaring both sides: (p + 1/p)² = p² + 1/p² + 2 = 16. Subtracting 2 from both sides gives p² + 1/p² = 14. Hence option B.