x

Subject - Mathematics:

General

MCQ - 129-8861

Question:

If a > 0, b > 0, c > 0, then the roots of the equation ax2 + bx + c = 0 are

  1. real and negative
  2. non-real with negative real parts
  3. real and positive
  4. non-real with negative real parts

Correct Answer: B

Explanation:

Since sum of the roots = -a/b < 0,
product = c/b > 0
both the roots can be –ve and real.
Again if
α = -3 + √2 , β = -3 -√2
then α + β = -6 < 0
Also α β = -3 (3 -√2 ) (-1) (3 +√2 )
= 9 – 2 = 7 > 0.
Hence nothing can be said about the roots.

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Read the MCQ statement: If a > 0, b > 0, c > 0, then the roots of the equation ax2 + bx + c = 0 are , keenly and apply the method you have learn through the video lessons for General to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 129-8861.

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