SOLUTION: What are all the values of b that will make x^2+bx+144 a perfect square?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: What are all the values of b that will make x^2+bx+144 a perfect square?      Log On


   

Question 1154825: What are all the values of b that will make x^2+bx+144 a perfect square?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What are all the values of b that will make x^2+bx+144 a perfect square?
----------
For x^2+bx+144 to be a perfect square, it has to be a perfect square for all values of x.
----
Try x = 0
=====================
OK, you got the answers.
No reason to learn anything.
Move along, nothing to see here.


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

b = 24 and/or b= -24.


----------------

Alan, there is no reason/cause to regret about my post.

It is one of the teaching methods - simply to show.