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allochka39001 [22]
3 years ago
14

Find the following quotient. (5−4i)/(5+4i) Answer in the form (a+bi)/c .

Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0

Answer:

Step-by-step explanation:

\frac{5-4i}{5+4i}=\frac{(5-4i)*(5-4i)}{(5+4i)*(5-4i)}\\\\

Now numerator is in the form (a - b)² & denominator in the form (a+b)(a - b)

(a -b)² = a² - 2ab + b²

(a + b)(a-b) = a² - b²

\frac{(5-4i)^{2}}{(5)^{2}-(4i)^{2}}=\frac{5^{2}-2*5*4i+(4i)^{2}}{25-16i^{2}}\\\\=\frac{25-40i+16i^{2}}{25-16*(-1)}\\\\=\frac{25-40i+16*(-1)}{25+16}\\\\=\frac{25-40i-16}{41}\\\\=\frac{9-40i}{41}

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Answer: Option (B) is the correct answer.

Step-by-step explanation:

A point at which three altitudes of a triangle meet is known as orthocenter.

Whereas when a circle is inscribed in a triangle and it touches all the sides of a triangle then the center of circle is known as incenter.

When all the three medians of a triangle intersect each other then the point is known as centroid.

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5 0
4 years ago
Read 2 more answers
What number must be added to both sides of the equation to complete the square ?
77julia77 [94]
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7 0
3 years ago
Simplify<br> (7x - 7)(x + 1)
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We will use the FOIL method to solve this.

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3 years ago
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8 0
3 years ago
2. Name the numerator and the denominator in each fraction.
marishachu [46]

Answer:

Step-by-step explanation:

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6 0
3 years ago
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