Find real numbers $a$ and $b$ such that the equation $a + b i = 10 - 12 i$ is true.
A) $\quad a = - 10 , b = 12$
B) $\quad a = 10 , b = 12$
C) $a = - 10 , b = - 12$
D) $a = 10 , b = - 12$
E) $\quad a = 22 , b = - 2$

Question

Quizplus · Accepted Answer

For the equation $a + b i = 10 - 12 i$ to be true, the real parts and the imaginary parts on both sides of the equation must be equal. Therefore, $a = 10$ and $b = -12$.

Find Real Numbers aaa And bbb Such That the Equation a+bi=10−12ia + b i = 10 - 12 ia+bi=10−12i

Find Real Numbers $a$ And $b$ Such That the Equation $a + b i = 10 - 12 i$