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valina [46]
2 years ago
8

Type the correct answer in the box,

Mathematics
1 answer:
HACTEHA [7]2 years ago
3 0

<u>We'll assume the quadratic equation has real coefficients</u>

Answer:

<em>The other solution is x=1-8</em><em>i</em><em>.</em>

Step-by-step explanation:

<u>The Complex Conjugate Root Theorem</u>

if P(x) is a polynomial in x with <em>real coefficients</em>, and a + bi is a root of P(x) with a and b real numbers, then its complex conjugate a − bi is also a root of P(x).

The question does not specify if the quadratic equation has real coefficients, but we will assume that.

Given x=1+8i is one solution of the equation, the complex conjugate root theorem guarantees that the other solution must be x=1-8i.

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