Question

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

Options

• –2

• –8

• 8

• 12

Answer 1

If the product of the roots of the equation x² – 3x + k = 10 is –2 then the value of k is 8.

Explanation:

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