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) $\quad a = 4 , b = - 9$
E) $\quad a = 13 , b = - 5$

Question

Quizplus · Accepted Answer

To find the real numbers $a$ and $b$ such that $a+bi=4-9i$, we can equate the real and imaginary parts on both sides. We have $a=4$ and $b=-9$, so the answer is (D).

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 $a + b i = 4 - 9 i$