Question 86

Which of the following equations has the sum of its roots as 11?

Solution

Sum of roots in an equation : $$ax^2 + bx + c = 0$$ is $$-\frac{b}{a}$$

(A) : $$x^2 - 11x + 18 = 0$$

=> Sum of roots = $$-\frac{-11}{1} = 11$$

(B) : $$x^2 - 7x + 10 = 0$$

=> Sum of roots = $$-\frac{-7}{1} = 7$$

(C) : $$x^2 + 2x - 26 = 0$$

=> Sum of roots = $$-\frac{2}{1} = -2$$

(D) : $$x^2 + 5x - 6 = 0$$

=> Sum of roots = $$-\frac{5}{1} = -5$$

=> Ans - (A)

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