(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

1.)

a.) If the roots of equation px^{2}- 4x + 1 are equal then find value of p

b.) Prove that the equation (k - 2)x^{2}+ 2x - k = 0 has real roots (upside down A symbol) k E R

2. Relevant equations

3. The attempt at a solution

I just don't know how to approach these questions. For a.) it says roots are equal meaning theres only 1 root but how do I find out what that root is if I have a constant in there?

For b.) I have the same problem. I would usually plug an equation into the quadratic formula to find out if it has real roots but in this case theres a constant so I'm lost. Do I have to find this constant first and if so how?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Couple of algebra questions I'm struggling with

**Physics Forums | Science Articles, Homework Help, Discussion**