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 complex numbers: $a + 4 = 4$ and $2b = -17$. Solving these 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 $( a + 4 ) + 2 b i = 4 - 17 i$