SOLUTION: Write the quadratic equation with a lead coefficient of 1 whose roots are 2-3i and 2+3i.

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Question 67237This question is from textbook Advanced mathematics
: Write the quadratic equation with a lead coefficient of 1 whose roots are 2-3i and 2+3i. This question is from textbook Advanced mathematics

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
(x - (2 - 3i))(x - (2 + 3i))
(x - 2 + 3i)(x - 2 - 3i)
x^2 - 2x + 3xi - 2x + 4 - 6i - 3xi + 6i + 9
x^2 - 4x + 13 = f(x)
Check:
x^2 - 4x = -13
(x - 2)^2 = -9
x - 2 = +- 3i
x = 2 +- 3i