Divide the following complex numbers. (7+17 i)/(2+3i)

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Divide the following complex numbers.  (7+17 i)/(2+3i)

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Multiplying Numerators and Denominators: Now we multiply the numerators and the denominators separately. Numerator: (7+17i)(2-3i) Denominator: (2+3i)(2-3i)Expanding the Numerator: First, we'll expand the numerator using the distributive property (FOIL method). (7+17i)(2-3i) = 7(2) + 7(-3i) + 17i(2) + 17i(-3i) = 14 - 21i + 34i - 51i^2 Since i^2 = -1, we replace -51i^2 with 51. = 14 - 21i + 34i + 51 = 65 + 13iExpanding the Denominator: Next, we'll expand the denominator. Since we're multiplying a complex number by its conjugate, the result will be a real number. (2+3i)(2-3i) = 2(2) + 2(-3i) + 3i(2) - 3i(3i) = 4 - 6i + 6i - 9i^2 Again, replacing i^2 with -1 gives us: = 4 - 9(-1) = 4 + 9 = 13Simplifying the Numerator and Denominator: Now we have the simplified numerator and denominator: Numerator: 65 + 13i Denominator: 13 We divide the real and imaginary parts of the numerator by the denominator separately. Real part: 65/13 Imaginary part: 13i/13Dividing the Real and Imaginary Parts: Dividing the real part: 65/13 = 5 Dividing the imaginary part: 13i/13 = i So the quotient is: 5 + i

Divide the following complex numbers. $\newline$ $\frac{7+17 i}{2+3 i}$

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Divide the following complex numbers.\newline7+17i2+3i \frac{7+17 i}{2+3 i} 2+3i7+17i​

Divide the following complex numbers. $\newline$ $\frac{7+17 i}{2+3 i}$