Question

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

Answer 1

`-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