Evaluate the expression (1 - 3i) / (2 - 4i) and write the result in the form a + bi. The real number a...

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Evaluate the expression (1 - 3i) / (2 - 4i) and write the result in the form a + bi. The real number a equals [ ]. The real number b equals [ ].

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To evaluate the expression (1 - 3i) / (2 - 4i), we multiply the numerator and the denominator by the conjugate of the denominator: Conjugate of the denominator: 2 + 4i Multiply numerator and denominator by the conjugate: (1 - 3i)(2 + 4i) / (2 - 4i)(2 + 4i) Calculate the denominator: (2 - 4i)(2 + 4i) = 4 + 8i - 8i - 16i² = 4 + 16 = 20 Calculate the numerator: (1 - 3i)(2 + 4i) = 2 + 4i - 6i - 12i² = 2 - 2i + 12 = 14 - 2i Divide the real and imaginary parts by the denominator: (14 - 2i) / 20 = 14/20 - (2/20)i = 0.7 - 0.1i Thus, the result in the form a + bi is 0.7 - 0.1i.The real number a equals 0.7.The real number b equals -0.1.

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Evaluate the expression (1 - 3i) / (2 - 4i) and write the result in the form a + bi. The real number a...

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