Question

Which statement is true about the solutions to x^2 - 1 = 24

A. There are two distinct irrational solutions.

B. There are two distinct rational solutions

C. There is only one rational solution

D. There is only one irrational solution

Answer 1

B.

Explanation:

x^2 - 1 = 24

x^2 = 25

Taking the square root of both sides:

x = -5, 5.

2 distinct rational solutions.

Answer 2

B. There are two distinct rational solutions

Explanation:

x^2 -1 = 24

Add 1 to each side

x^2 -1+1 = 24+1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5