Find real numbers $a$ and $b$ such that the equation $a + b i = - 10 + 10 i$ is true.
A) $\quad a = 10 , b = - 10$
B) $a = - 10 , b = - 10$
C) $\quad a = 10 , b = 10$
D) $\quad a = - 10 , b = 10$
E) $\quad a = - 20 , b = 0$

Question

Quizplus · Accepted Answer

We can find the real numbers $a$ and $b$ by equating the real and imaginary parts on both sides of the equation $a+bi=-10+10i$: 
\begin{align*}
a &= -10 \
bi &= 10i \
\Rightarrow b &= 10
\end{align*}
Therefore, $a=-10$ and $b=10$, so the answer is $\boxed{	extbf{(D)}}$.

Find Real Numbers aaa And bbb Such That the Equation a+bi=−10+10ia + b i = - 10 + 10 ia+bi=−10+10i

Find Real Numbers $a$ And $b$ Such That the Equation $a + b i = - 10 + 10 i$