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The roots of the quadratic equation 4x2 − 5x + 4 = 0 are ______. - Mathematics

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Question

The roots of the quadratic equation 4x2 − 5x + 4 = 0 are ______.

Options

  • irrational

  • rational and distinct

  • not real

  • rational and equal

MCQ
Fill in the Blanks

Solution

The roots of the quadratic equation 4x2 − 5x + 4 = 0 are not real.

Explanation:

4x2 − 5x + 4 

Discriminant D = `sqrt(25 - 64)`

= `sqrt(-39) < 0`

∴ Roots are not real

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