Question

The discriminant of a quadratic equation is negative one solution is 6+2i. What is the other solution

Answer 1

6 - 2i

Explanation:

Given:

The discriminant is negative.

One solution is 6 + 2i.

For a quadratic equation, if the discriminant is negative, then there are two complex roots. One root is conjugate of the other.

So, if a quadratic equation has a discriminant negative. Then, the roots of the quadratic equation are a + bi and a - bi, where,
`a` and
`b` are real numbers.

Here, 6 + 2i is one root of the quadratic equation. So, the other root is the conjugate of 6 + 2i which is 6- 2i.