The values of a and b that make the equation true are -28 and -9, respectively
How to determine the true values of a and b?
The equation is given as:
(4 + √-49) – 2((-4)² + √–324) = a + bi
Evaluate the exponents
(4 + 7i) – 2(16 + 18i) = a + bi
Expand the bracket
4 + 7i – 32 - 16i = a + bi
Collect like terms
4 – 32 + 7i - 16i = a + bi
Evaluate like terms
-28 -9i = a + bi
By comparison, we have:
a = -28 and b = -9
Hence, the values of a and b that make the equation true are -28 and -9, respectively
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