Question

What value of thatp makes the equation true?

3p + 1/3= -1/p
a p=1/2
b p=1
c p=2
d p=2/3
​

Answer 1

There is no value of p that makes the equation true.

Step-by-step explanation:

To find the value of p that makes the equation true, we need to solve for p.

Given the equation 3p + 1/3 = -1/p, we can start by multiplying every term by 3p to eliminate the fractions:

3p(3p) + (1/3)(3p) = (-1/p)(3p)

9p² + p = -3

Now, we can rearrange the equation to form a quadratic equation:

9p² + p + 3 = 0

Using the quadratic formula,

p = (-b ± √(b² - 4ac)) / (2a)

where a = 9, b = 1, and c = 3.

Calculating the discriminant (b² - 4ac), we get b² - 4ac = 1 - 4(9)(3) = 1 - 108 = -107. Since the discriminant is negative, there are no real solutions for p. Therefore, there is no value of p that makes the equation true.