Flag Algebra> If p, q and r are odd integers then prove...
question mark

If p, q and r are odd integers then prove that the roots of px^2+qx+r cannot be rational.

agam goel , 10 Years ago
Grade 12
anser 1 Answers
SHAIK AASIF AHAMED

Last Activity: 10 Years ago

Hello student,
Please find the answer to your question
Let us assume that px2+qx+r=0 has rational roots
then let (ax+b)(cx+d)=px2+qx+r
then ac=p ;ad+bc=q and bd=r
if p and r are odd
then since ac=p and bd=r
we can say a,c and b,d are also odd
ad+bc=odd+odd=even
so q=ad+bc is even
so all cannot be odd when roots are rational
Hence if p,q,r are odd then roots of px2+qx+r cannot be rational

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments