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

If α and [itex]\frac{1}{αα}[/itex]are the roots of the equation [itex]5x^{2}+13x+k[/itex] then k will be:

a) 5

b) -5

c) 13

d) 1

2. Relevant equations

3. The attempt at a solution

I've tried multiplying both the roots to get [itex]\frac{c}{a}[/itex] and adding the roots to get [itex]\frac{-b}{a}\frac{}{}[/itex], and then I've tried to add the sum and the product of the roots on the LHS and corresponding to it, [itex]\frac{c}{a}[/itex] and [itex]\frac{-b}{a}[/itex] on the RHS. But I just can't get the answer, and I can't figure out how to solve this any differently. Any help or ideas on how to go about solving this type of question would be greatly appreciated.

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

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: Need to find c in a quadratic equation

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