Question

please answer this question as fast as possible with neat explanation.
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Answer 1

Answer:

2)

Step-by-step explanation:

Given:

4 - i√3 is a root of quadratic equation.

To Find:

Equation = ?

Solution:

If 4 - i√3 is one of the root. The other root must be 4 + i√3.

Quadratic equation = x^2 - (sum of roots)x + (product of the roots)    

==> x² - (4 - i√3 + 4 + i√3)x + (4 - i√3)(4 + i√3) = 0

==> x² - (4 + 4)x + (16 + 3) = 0

==> x² - 8x + 19 = 0

Result:

Equation = x² - 8x + 19 = 0