Question

If the product of the roots of the equation x² - 3x + k = 10 is -2 then the value of k is

(a) -2 

(b) -8 

(c) 8 

(d) 12

Answer 1

Correct answer is (c) 8

It is given that the product of the roots of the equation x² - 3x + k = 10 is -2

The equation can be rewritten as:

x² - 3x +(k - 10) = 0

Product of the roots of a quadratic equation = c/a

⇒ c/a = -2

⇒ (k - 10)/1 = -2

⇒ k = 8