What values of c and d would make the following expression represent a real number? i (2 + 3i) (c + di)

choices: A) c = 2, d = 3 B) c = - 2, d = 3 C) c = 3, d = - 2 D) c = - 3, d = - 2

Question

Mathematics

Ulises

7 July, 06:35

What values of c and d would make the following expression represent a real number? i (2 + 3i) (c + di)

choices: A) c = 2, d = 3 B) c = - 2, d = 3 C) c = 3, d = - 2 D) c = - 3, d = - 2

+3

Answers (1)

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April Miller · Answer 1

The product will be 2ci+2di^2+3ci^2+3di^3 = 2ci-2d-3c-3di = - 2d-3c+i (2c-3d) to get a real number 2c - 3d = 0 so, 2c=3d from the options it is possible when c=-3 and d=-2 hence, the answer is option D)

What values of c and d would make the following expression represent a real number? i (2 + 3i) (c + di)choices: A) c = 2, d = 3 B) c = - 2, d = 3 C) c = 3, d = - 2 D) c = - 3, d = - 2

What values of c and d would make the following expression represent a real number? i (2 + 3i) (c + di)

choices: A) c = 2, d = 3 B) c = - 2, d = 3 C) c = 3, d = - 2 D) c = - 3, d = - 2