Question

The product of the roots of 8x² - 2x = 1 is:

Answer 1

AB = c/a = -1 / 8 = -1/8

Answer 2

`\text{Product of its zeros = }(-1)/(8)`

Explanation:

The quadratic equation is given to be : 8x² - 2x = 1

We need to find the product of its zeros

First finding the number of zeros :

⇒ 8x² - 2x - 1 = 0

⇒ 8x² - 4x + 2x - 1 = 0

⇒ (4x + 1)(2x - 1) = 0

`\implies x = (-1)/(4)\:\:and\:\: x = (1)/(2)`

`\text{Product of its zeros = }(-1)/(4)*(1)/(2)=(-1)/(8)`