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Which of the following equations has the sum of its roots as 3? - Mathematics

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MCQ

Which of the following equations has the sum of its roots as 3?

Options

  • `2x^2 - 3x + 6` = 0

  • `-x^2 + 3x - 3` = 0

  • `sqrt(2)x^2 - 3/sqrt(2)x + 1` = 0

  • `3x^2 - 3x + 3` = 0

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Solution

`-x^2 + 3x - 3` = 0

Explanation:

The sum of the roots of a quadratic equation ax2 + bx + c = 0, a ≠ 0 is given by,

Given, –x2 + 3x – 3 = 0

Sum of the roots = `- b/a = -(3/-1)` = 3

Concept: Nature of Roots
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APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 4 Quadatric Euation
Exercise 4.1 | Q 5 | Page 37
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