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

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# 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

Choice (3). 4 or -4

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.

## More Questions on Linear, Quadratic and Cubic Equations - Algebra

 5. 6. 7.

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