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

Question

Quizplus · Accepted Answer

Since the real part of the left-hand side of the equation is $a$ and the real part of the right-hand side is $10$, we know that $a=10$. Similarly, the imaginary part of the left-hand side is $b$ and the imaginary part of the right-hand side is $-12$, so $b=-12$. Therefore, the correct answer is D: $a=10$ 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 $a + b i = 10 - 12 i$