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Question
The roots of the equation (b + c)x2 – (a + b + c)x + a = 0 (a, b, c ∈ Q, b + c ≠ a) are ______.
Options
irrational and different
rational and different
imaginary and different
real and equal
MCQ
Fill in the Blanks
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Solution
The roots of the equation (b + c)x2 – (a + b + c)x + a = 0 (a, b, c ∈ Q, b + c ≠ a) are rational and different.
Explanation:
∵ a, b, c ∈ Q, b + c ≠ a
⇒ a + b + c ∈ Q, b + c ∈ Q
∵ D = (a + b + c)2 – 4(b + c)a
= (a – b – c)2
Clearly roots are rational and different
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Solution of Quadratic Inequalities
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