[" 23.Prove that both the roots of the e...

[" 23.Prove that both the roots of the equation "(x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0],[" A Prove they are equal only when "a=b=c" ."],[[" (24) "|a,b,c" are real numbers such that "ac!=0," then show that at least least one of the equations "],[ax^(2)+bx+c=0" and "-ax^(2)+bx+c=0" has real routs."],[25." If the equation "(1+m^(2))x^(2)+2mcx+(c^(2)-a^(2))=0," has equal roots,frost "20171]]

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If a,b,c, are real number such that ac!=0 , then show that at least one of the equations ax^(2)+bx+c=0 and -ax^(2)+bx+c=0 has real roots.

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