Question

One root of the equation x2+6x+q=0 is twice the other root. find q and the roots.

Answer 1

q = 18 , roots = -3&-6

Explanation:

Let :-

• First root = x
• Second root = 2x

We know ,

• Sum of roots = -b/a
• x + 2x = -6/1
• 3x = -6
• x = -3

And ,

• Product of roots = c/a
• x * 2x = q
• 2x²= q
• q = 2* -3²
• q = 2* 9
• q = 18

Roots :-

• x = -3
• 2x = -6