The value 5 is a solution for

a. true
b. false

A. TRUE

Step-by-step explanation:

To verify if that value 5 is a solution, you place it in the equation instead of 'x' and see if the equality is respected at the end.

The equation is: x² - 6x + 5 = 0

Now, let's replace x by 5:

5² - 6 (5) + 5 = 0

25 - 30 + 5 = 0

-5 + 5 = 0

0 = 0

Since 0 = 0 is true, the value 5 is a valid solution for this equation.

If we had tried with 6, it would have ended with

36 - 36 + 5 = 0

5 = 0

So, 6 is NOT a solution.