Question 55

Which of the following equations has the sum of its roots as 5?

Solution

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

(A) : $$x^{2}-5x+6 = 0$$

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

(B) : $$x^{2}-6x-5 = 0$$

=> Sum of roots = $$-\frac{-6}{1} = 6$$

(C) : $$x^{2}+5x+6 = 0$$

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

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

=> Sum of roots = $$-\frac{6}{1} = -6$$

=> Ans - (A)

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