Find real numbers $a$ and $b$ such that the equation $a + b i = 4 - 9 i$ is true.
A) $\quad a = - 4 , b = 9$
B) $\quad a = 4 , b = 9$
C) $\quad a = - 4 , b = - 9$
D) $a = 4 , b = - 9$
E) $\quad a = 13 , b = - 5$

Question

Quizplus · Accepted Answer

For the equation $a + b i = 4 - 9 i$ to be true, $a$ must equal the real part of the right side, which is 4, and $b$, the coefficient of $i$, must equal the imaginary part, which is -9.

Find Real Numbers aaa And bbb Such That the Equation a+bi=4−9ia + b i = 4 - 9 ia+bi=4−9i

Find Real Numbers $a$ And $b$ Such That the Equation $a + b i = 4 - 9 i$