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

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KollegeApply · Accepted Answer

–x2 + 3x – 3 = 0 Explanation: The sum of the roots of a quadratic equation ax2 + bx + c = 0, a $\neq$ 0 is given by, Coefficient of x / coefficient of x2 = -(b/a) (A) Given, 2x2 – 3x + 6 = 0 Sum of the roots = (-b)/a = (-(-3))/2 = $\frac{3}{2}$ (B) Given, –x2 + 3x – 3 = 0 Sum of the roots = (-b)/a = (-(3))/(-1) = 3 (C) Given, sqrt(2)x^2 - 3/sqrt(2)x + 1 = 0 2x^2 - 3x + sqrt(2) = 0 Sum of the roots = (-b)/a = (-(-3))/2 = $\frac{3}{2}$ (D) Given, 3x2 – 3x + 3 = 0 Sum of the roots = (-b)/a = (-(-3))/3 = 1

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