0

Guest

Courses New

Q.1.Let a,b,c be real.ax 2 +bx+c has real roots alpha and beta (alpha>beta).Find the condition on the roots,in relation to p,so that (p 2 )+(c/a) +(p).mod(b/a)

Q.1.Let a,b,c be real.ax2+bx+c has real roots alpha and beta (alpha>beta).Find the condition on the roots,in relation to p,so that (p2)+(c/a) +(p).mod(b/a)<0.

Grade:12

1 Answers

Akshay Ragupathy
18 Points
14 years ago
(alpha, beta =A,B for convenience) p^2 + c/a +p.mod(b/a) < 0 =>p^2 + A*B +p.mod(A+B) < 0 Case1 - A+B > 0 p^2 + A*B +p(A+B) < 0 which is a quadratic in itself, and is 0 at p=-A,-B. => -A < p < -B (from wavy curve) Case2 - A+B < 0 p^2 + A*B - p(A+B) < 0 p^2 + A*B - p(A+B)= 0 for p=A,B => B< p

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More