Respuesta :
Multiply top and bottom of the fraction by the conjugate of 6 - i:-
(4 + 2i)(6 + i) 24 + 16i - 2 22 + 16i
----------------- = ---------------- = -----------
(6 - i)(6 + i) 36 - (-1) 37
(4 + 2i)(6 + i) 24 + 16i - 2 22 + 16i
----------------- = ---------------- = -----------
(6 - i)(6 + i) 36 - (-1) 37
The quotient of 4+2i/6-i is (11/4-4i)/*1/5.
What is quotient?
Quotient is a result obtained by dividing one quantity by another.
explanation;
(4-2i)/(6-i)
Multiply and divide by the denominator = (6+i)
=>(4-2i)/(6-i)/(6+i)(6+i)
=> (4*6 + 4i - 12i - 2i^2)/[6^2 - (2i)^2]
=> (24 - 8i -2)/ [36 + 4] [since i^2 = -1]
=> (22-8i) /40
=> 22/40 - 8i/40
=> 11/20 - i/5
Hence, the quotient of 4+2i/6-i is (11/4-4i)/*1/5.
A ratio is an ordered pair of numbers a and b, written a / b in which b does no longer identical zero. A proportion is an equation wherein ratios are set equal to each other. The share components is used to depict if two ratios or fractions are same. we can find the lacking fee by dividing the given values. the proportion formula can be given as a: b::c : d = a/b = c/d wherein a and d are the acute terms and b and c are the mean phrases.
The quantitative relation among two quantities showing the number of times one cost consists of or is contained inside the other. The indicated quotient of two mathematical expressions. b : the connection in quantity, quantity, or size among or more matters.
A ratio can be defined as the connection or assessment among two numbers of the same unit to check how larger is one variety than the alternative one. as an instance, if the quantity of marks scored in a take a look at is 2 out of 5, then the ratio of marks received to the total range of marks is written as 2:5.
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