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41. and , find and interpret the result geometrically.
(a) If
(b) Use part (a) to show that the complex numbers 12, , and are vertices of a right triangle.
Use Theorem 10.2.3 to show that if the coefficients a, b, and c in a quadratic polynomial are real, then the solutions of
42. the equation are complex conjugates. What can you conclude if a, b, and c are complex?
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