1.

3-7iota divided by 2+5¡

Answer»

Answer:

- (1 + i)

Step-by-step explanation:

(3 - 7i)/(2 + 5I)

On RATIONALISING:

(3 - 7i)(2 - 5i)/(2 + 5i)(2 - 5i)

(6 - 15i - 14i + 35i²)/{2² - (5i)²}

(6 - 29i - 35)/(4 + 25)

Since i² = - 1

Therefore:

(- 29 - 29i)/29

- 1 - i

- (1 + i)

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