Question

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

Answer 1

Answer:

$\text{Product of its zeros = }\frac{-1}{8}$

Step-by-step 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

$\implies x = \frac{-1}{4}\:\:and\:\: x = \frac{1}{2}$

$\text{Product of its zeros = }\frac{-1}{4}\times\frac{1}{2}=\frac{-1}{8}$

Answer 2

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