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

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

#### 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