Question

HELPPPPP PLZZZZ What real number a and b make the equation true? (a-3)+(b+8)i=3-4i

Answer 1

Answer:

a= 6

b= -12

Step-by-step explanation:

In complex number algebra, you need to sum the real values with each others and the imaginary values with each others.

In order to determine which number is a real value and which one is an imaginary, we must expand the parenthesis terms:

$(a-3) + (b+8)i =a - 3 + bi + 8i = 3 - 4i$

Now we match real numbers with real numbers and imaginary numbers with imaginary numbers:

$a - 3 = 3\\a= 3 - (-3) = 6\\\\b + 8 = -4 \\b= -4 -8 = -12$