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If a,b, c epsilon R(a!=0) and a+2b+4c=0 ...

If `a,b, c epsilon R(a!=0)` and `a+2b+4c=0` then equatio `ax^(2)+bx+c=0` has

A

atleast one positive root

B

atleast one non-integral root

C

both integral roots

D

no irrational root

Text Solution

Verified by Experts

The correct Answer is:
A, B
`:'a+2b+4c=0`
`:.a(1/2)^(2)+b(1/2)+c=0`
It is clear that one root is `1/2`
Let other root be `alpha`. Then `alpha+1/2=-b/a`
`impliesalpha=-1/2-b/a`
which depends upon a and b.
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