1.

If a and b are real and a ≠ b then show that the roots of the equation (a−b)x2+5(a+b)x−2(a−b)=0 are real and unequal.

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If a and b are real and a b then show that the roots of the equation (ab)x2+5(a+b)x2(ab)=0 are real and unequal.



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