Guest

If ax 2 - bx + c = 0 has two distinct real roots in (0,1) where a, b and c are natural numbers then prove that abc ≥ 25.

If ax2 - bx + c = 0 has two distinct real roots in (0,1) where a, b and c are natural numbers then prove that abc ≥ 25.

Grade:11

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
11 years ago

Dear student,

2 distinct roots would mean the discriminant would be greater than 0. That is, in ax^2 + bx + c = 0, b^2 - 4ac > 0.

 

Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.

All the best.

Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..

 

Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

Think You Can Provide A Better Answer ?