Question

Consider a quadratic equation with integer coefficients and two distinct zeros. If one zero is irrational, what is true about the other zero

Answer 1

Answer:

Step-by-step explanation:

irrational roots always occur in pairs.

Other root is also irrational and is negative of first zero.

Answer 2

If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .

What is quadratic equation ?

Any equation of the  form $ax^{2}+bx+c=0$  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Let assume quadratic equation is

$ax^{2}+bx+c=0$

Given that coefficients are integer and roots are distinct

we know root of quadratic equation are

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

As roots are distinct

$b^2-4ac > 0$

and one root is irrational so $b^2-4ac$ is not a perfect square

Hence another root is also irrational .

If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .

To learn more about quadratic equations visit : https://brainly.com/question/1214333