Question

if alpha and beta are the zeros of 2x^2+5x-10 then the value of product beta is

Answer 1

product of root is given by c/a that is -10/2 =-5
hope it helps

Answer 2

Hey mate !!

Here's the answer !!

The question has a small error. The " to find  " value must be αβ and not only β.

Given equation = 2x² + 5x - 10 = 0

To find : Product of Alpha * Beta or αβ.

We know that,

Sum of zeros of a polynomial = - b / a

Product of zeros of a polynomial = c / a

We know that, αβ = Product of zeros.

Hence we must find the product by substituting the values from the equation.

We know that,

a = 2, b = 5, c = - 10

=> Product of zeros = c / a

= Product = - 10 / 2 = - 5

Hence the value of αβ = ( - 5 )

Hope my answer helps !!

Cheers !!