please answer this question as fast as possible with neat explanation.
Attachments:
Answers
Answered by
3
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
Similar questions