Answer:
6 - 2i
Step-by-step 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, [tex]a[/tex] and [tex]b[/tex] 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.