Find real numbers a and b such that the equation is true.
$( a + 4 ) + 2 b i = 4 - 17 i$
A) a = 0, b = - $\frac { 21 } { 2 }$
B) a = 0, b = - $\frac { 17 } { 2 }$
C) a = 0, b = - $\frac { 19 } { 2 }$
D) a = 0, b = -9
E) a = 0, b = -10

Question

Find real numbers a and b such that the equation is true.  
  $( a + 4 ) + 2 b i = 4 - 17 i$  
A) a = 0, b = - $\frac { 21 } { 2 }$
B) a = 0, b = - $\frac { 17 } { 2 }$
C) a = 0, b = - $\frac { 19 } { 2 }$
D)  a = 0, b = -9
E) a = 0, b = -10

Quizplus · Accepted Answer

To solve for $a$ and $b$, equate the real parts and the imaginary parts of the given complex numbers: $a + 4 = 4$ and $2b = -17$. Solving these equations gives $a = 0$ and $b = -\frac{17}{2}$.

Find Real Numbers a and B Such That the Equation (a+4)+2bi=4−17i( a + 4 ) + 2 b i = 4 - 17 i(a+4)+2bi=4−17i

Find Real Numbers a and B Such That the Equation $( a + 4 ) + 2 b i = 4 - 17 i$