Question

Evaluate the expression (1+7i)/(-3-6) and write your answer in the form a+bi . a= ?and b=?

Answer 1

The given expression (1+7i)/(-3-6i) is simplified by multiplying both numerator and denominator by the conjugate of the denominator, resulting in the expression in the form a+bi, where a = 0.8667 and b = -0.6.

Step-by-step explanation:

To evaluate the expression (1+7i)/(-3-6i) and write the answer in the form a+bi, we need to perform some mathematical operations. The first step is to multiply the numerator and the denominator by the conjugate of the denominator. The conjugate of -3-6i is -3+6i.

So we multiply the original expression by (-3+6i)/(-3+6i):

(1+7i)(-3+6i)
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(-3-6i)(-3+6i)

Expanding the numerator:

(1)(-3) + (1)(6i) + (7i)(-3) + (7i)(6i)
=-3 - 6i - 21i - 42i2
=-3 - 27i + 42 (since i2 = -1)