Question

8 + 7i is a solution of a quadratic equation with real coefficients. find the other solution. what is the other solution?

Explanation:

Step1: Recall Complex Conjugate Root Theorem

For polynomials with real coefficients, non-real roots occur in conjugate pairs. If $a+bi$ is a root, its conjugate $a-bi$ is also a root.

Step2: Identify the conjugate of $8+7i$

The conjugate of $8+7i$ is found by changing the sign of the imaginary part: $8-7i$.

Answer:

$8-7i$