Question

Consider the equation ax^2 bx 5=0 where a,b,c are rational numbers and the quadratic has 2 distinct zeros. if one zero is irrational, the other 0 is

Answer 1

if one zero is irrational, the other 0 is also irrational.

Answer 2

The other zero is also irrational. ( the complex conjugate of the first zero)

Explanation:

We are given a quadratic equation as:

`ax^2+bx+5=0`

where a,b and c are rational numbers.

Also it is given that the quadratic has 2 distinct zeros and one of it's zero is irrational.

" We know that for a polynomial equation with rational coefficients if it has one irrational zero then the conjugate pair of that zero is also an zero of the same polynomial equation "

Hence, in this case it is a quadratic equation such that one of it's zero is irrational, hence the other zero is also irrational.