Hi, I'm having a hard time dealing with this problem. It says "If (2m+1)(x^2+1)=(2m+5)x has equal roots, find the value of m"

How do I solve this problem?

Printable View

- Aug 27th 2009, 01:07 AMsaberteethSolving Quadratic Equation With Equal Roots
Hi, I'm having a hard time dealing with this problem. It says "

**If (2m+1)(x^2+1)=(2m+5)x has equal roots, find the value of m**"

How do I solve this problem? - Aug 27th 2009, 01:14 AMred_dog

If the roots are equal then the discriminant is 0.

Find the discriminant and solve the quadratic in respect to m. - Aug 27th 2009, 01:19 AMeXist
Well to start I would distribute those and get:

(Set it equal to 0 since we need to find the roots.

Apply the quadratic equation:

How ever, we need these roots to be equal to m, therefore we set this equation to m:

And from there, solve for m :D. Hope this helps, Chad. - Aug 27th 2009, 01:19 AMsimplependulum
- Aug 27th 2009, 01:32 AMsaberteeth
thanx!