Question

If the product of the zeroes of the quadratic polynomial x² – 3ax + 2a² – 1 is 7, then a = ______.

Answer 1

If the product of the zeroes of the quadratic polynomial x² – 3ax + 2a² – 1 is 7, then a = ±2.

Explanation:

For x² – 3ax + 2a² – 1,

The product of the roots = `("Constant term")/("Coefficient of"  x^2)`

= 2a² – 1

Set 2a² – 1 = 7 

⇒ 2a² = 8

⇒ a² = 4

⇒ a = ±2