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If the equation ax^(2)+2bx+c=0 has real ...

If the equation `ax^(2)+2bx+c=0` has real roots, a,b,c being real numbers and if m and n are real numbers such that `m^(2)gtngt0` then prove that the equation `ax^(2)+2mbx+nc=0` has real roots.

A

real and distinct roots

B

complex

C

both real and complex

D

cannot be determined

Text Solution

Verified by Experts

The correct Answer is:
A
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