Question

Multiplicative inverse of
then p+1/p=1/2 then p=

​

Answer 1

Answer:

1

Step-by-step explanation:

Given in the image

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Answer 2

Answer:

The solution is: p = -1/2

Step-by-step explanation:

We are given that p + 1/p = 1/2, and we need to find the value of p.

To solve for p, we can use the following steps:

Multiply both sides of the equation by p to get rid of the denominator on the left-hand side:

p(p + 1/p) = p(1/2)

This simplifies to:

p^2 + 1 = p/2

Move all terms to one side of the equation:

p^2 - (p/2) + 1 = 0

Multiply both sides of the equation by 2 to eliminate the fraction:

2p^2 - p + 2 = 0

Solve for p using the quadratic formula:

p = [1 ± sqrt(1 - 4(2)(2))]/(2(2))

Simplifying this expression gives:

p = (1 ± sqrt(9))/4

So, p can be either (1 + 3)/4 = 1 or (1 - 3)/4 = -1/2.

However, if we plug in both values of p into the original equation p + 1/p = 1/2, we find that only p = -1/2 satisfies the equation:

-1/2 + 1/(-1/2) = -1/2 - 2 = -5/2 ≠ 1/2

Therefore, the solution is:

p = -1/2

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