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If f(x)=a x^2+b x+c ,g(x)=-a x^2+b x+c ,...

If `f(x)=a x^2+b x+c ,g(x)=-a x^2+b x+c ,w h e r ea c!=0,` then prove that `f(x)g(x)=0` has at least two real roots.

A

at least three real roots

B

no real root

C

at least two real roots

D

two real and two imaginary roots

Text Solution

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The correct Answer is:
C
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ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 2
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  16. If the equation x^(2)-4x+log(1/2)a = 0 does not have two distinct rea...

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  19. If alpha and beta are the ral roots of x ^(2) + px +q =0 and alpha ^(4...

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