If l, m, n are Real, l + m ≠ 0, Then The Roots Of The Equation          (l + m)x2 – 3(l – m)x – 2 (l + m) = 0 Are

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Question

If lmn are real, l + m ≠ 0, then the roots of the equation

         (l + m)x2 – 3(l – m)x – 2 (l + m) = 0 are

Solution

Correct option is

Real and unequal

Discriminant of the given equation is

          D = 9 (l – m)2 + 8 (l + m)2

As l + m ≠ 0, (l + m)2 > 0. Also, (l – m)2 ≥ 0.

Thus, D > 0

Hence, roots of the given equation are real and unequal.

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