Quadratic Equation, real and equal roots problem. Quant Preparation. Ascent MBA TANCET, XAT, CAT, PGSEM Preparation, Correspondence course

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You are here: Home   CAT, XAT, TANCET Prep Questions  Quadratic Equation   Question 8

Math Problems : Quadratic Equation

Question

For what value of m will the roots of the quadratic equation x2 + mx + 4 = 0 have real and equal roots?
  1. 4
  2. -4
  3. 4 or -4
  4. 16

Correct Answer

Choice (3). 4 or -4

Explanatory Answers

The question states that the roots of the equation are real and equal.

Note

The roots of a quadratic equation of the form ax2 + bx + c = 0 will be real and equal if its discriminant D = b2 - 4ac = 0

In this case, b = m, a = 4 and c = 4.
Therefore, m2 - 4 * 4 * 1 = 0

Or m2 = 16

Orr m = +4 or m = -4.


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