Question

if p=x+1/x then the value of the p-1/p will be​

Answer 1

Solution 1) :-

→ p = x + (1/x)

→ p = (x² + 1)/x

→ 1/p = x/(x² + 1)

Putting both values now,

→ p - (1/p) = {(x² + 1)/x} - {x/(x² + 1)}

→ p - (1/p) = { (x² + 1)² - x² } / x(x² + 1)

→ p - (1/p) = { x⁴ + 1 + 2x² - x² } / (x³ + x)

→ p - (1/p) = (x⁴ + x² + 1) / (x³ + x) (Ans.)

_____________

Solution 2) :-

→ p = (x + 1)/x

→ 1/p = x/(x + 1)

→ p - (1/p) = {(x + 1)/x} - {x / (x + 1)}

→ p - (1/p) = {(x + 1)² - x²} / x(x + 1)

→ p - (1/p) = { x² + 1 + 2x - x² } / (x² + x)

→ p - (1/p) = (2x + 1)/(x² + x) (Ans.)

Learn more :-

if a^2+ab+b^2=25

b^2+bc+c^2=49

c^2+ca+a^2=64

Then, find the value of

(a+b+c)² - 100 = ...

https://brainly.in/question/16231132

Answer 2

Step-by-step explanation:

this is the answer please mark me as brainlist