Question

Is P - 1 upon p = 4 find P + 1 upon p whole square​

Answer 1

Given that (p - 1/p) = 4, the value of p² + 1/p² is 18. Detail below

Data obtained from the questio

• (p - 1/p) = 4
• p² + 1/p² = ?

How to determine the value of p² + 1/p²

(p - 1/p) = 4

Square both sides

(p - 1/p)² = (4)²

(p - 1/p)² = 16 ....(1)

Recall

(a - b)² = a² + b² - 2ab

Thus,

(p - 1/p)² = p² + 1/p² - (2 × p × 1/p)

(p - 1/p)² = p² + 1/p² - 2

From equation (1) above,

(p - 1/p)² = 16

Therefore,

p² + 1/p² - 2 = 16

Rearrange

p² + 1/p² = 16 + 2

p² + 1/p² = 18

Thus, the value of p² + 1/p² is 18

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