Absolute Valued Equations :0 (1 Viewer)

[coyazayo]

Hi everyone reading this post. I have a question in relation with abs equations. Thanks in advance!!

Consider the following equation

|x^2-4x-5 |=k

1.Find the set of real values of k when it has 2 solutions
2.Find the set of real values of k when it has 3 solutions
3.Find the set of real values of k when it has 4 solutions
4.Find the set of real values of k when it has no solution

 

[davidgoes4wce]

Try to visualise it 'graphically', I did a plot to see it.



Think of 'k' as where the horizontal line and where it intersects with the absolute valued quadratic function:

 

[InteGrand]

Try to visualise it 'graphically', I did a plot to see it.



Think of 'k' as where the horizontal line and where it intersects with the absolute valued quadratic function:

For two solutions (Q.1), we can also have k > 9.

 

[davidgoes4wce]

For two solutions (Q.1), we can also have k > 9.

Your right I missed that,my bad.

 

[coyazayo]

Thanks!

 

[davidgoes4wce]

No worries.