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Home › AP EAPCET (Engineering) › Mathematics › Algebra: Theory of Equations › A real quadratic (monic) has the root 2 + 3i. Th…

A real quadratic (monic) has the root 2 + 3i. The quadratic is

Ax^2 + 4x + 13
Bx^2 - 4x + 13
Cx^2 - 2x + 13
Dx^2 - 4x + 5
Answer & Solution
Correct answer: B. x^2 - 4x + 13
The other root is 2 - 3i, giving sum 4 and product 4 + 9 = 13, so the quadratic is x^2 - 4x + 13.
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