Find real numbers a and b such that the equation $a + b i = 3 + 8 i$ is true.
A) $a = - 3 , b = - 8$
B) $a = 3 , b = - 8$
C) $a = - 3 , b = 8$
D) $a = 3 , b = 8$
E) $a = - 5 , b = 11$

Question

Quizplus · Accepted Answer

For the equation $a + b i = 3 + 8 i$ to be true, the real parts and the imaginary parts on both sides of the equation must be equal. Therefore, $a = 3$ and $b = 8$.

Find Real Numbers a and B Such That the Equation a+bi=3+8ia + b i = 3 + 8 ia+bi=3+8i

Find Real Numbers a and B Such That the Equation $a + b i = 3 + 8 i$