Question

How many and what type of solution(s) does the equation have?

6p^2 = 8p + 3

No real solutions


2 irrational solutions


1 rational solution


2 rational solutions

Answer 1

2 irrational solutions.

Explanation:

6p^2 = 8p + 3

0 = -6p^2 + 8p + 3

The roots are:

p = (2/3) - (8.5)^(1/2)/3, and

p = (2/3) + (8.5)^(1/2)/3

These are irrational numbers.

There are 2 irrational solutions.