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Savatey [412]
3 years ago
6

If

b}{c + id} " alt=" \frac{a + ib}{c + id} " align="absmiddle" class="latex-formula">
is purely real complex number then prove that: ad=bc​
Mathematics
1 answer:
Simora [160]3 years ago
7 0

Rewrite the given number as

\dfrac{a+ib}{c+id}=\dfrac{(a+ib)(c-id)}{(c+id)(c-id)}=\dfrac{ac+bd+i(bc-ad)}{c^2+d^2}

If it's purely real, then the complex part should be 0, so that

\dfrac{bc-ad}{c^2+d^2}=0\implies bc-ad=0\implies\boxed{ad-bc}

as required.

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Choose the right answer.
kramer

Answer:

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Step-by-step explanation:

5 0
2 years ago
Sally bought a car for 35000 in 2017. If the car loses 5.5% semiannually, what will the value of the value of the car be at the
kumpel [21]
The value of the year at the end of 2025 will be given by:
A=P(1+r/100)^n
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P=principle
r=rate
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5 0
3 years ago
Which of the binomials below is a factor of this trinomial x^2+4x+4
dmitriy555 [2]
X² + 4x + 4
x            2
x             2

(x + 2) (x + 2) 


x + 2 should be your answer

binomial is having 2 terms

hope this helps
4 0
3 years ago
Read 2 more answers
A water tanks can hold 234 cubic feet of water.How many gallons can the water tank hold
Veseljchak [2.6K]

1 cubic foot has 7.48 gallons of water.

Volume of water tank = 234 cubic feet

So, the number of gallons are = 234\times7.48=1750.32

Hence, the water tank can hold 1750.32 gallons of water.

4 0
3 years ago
Mark said he can decompose five six into three fractions with three different numerators and the same denominator is this possib
Kazeer [188]

Answer:

1/6 ; 2/6 ; 2/6

Step-by-step explanation:

To split 5/6 into. 3 different fractions with the same denominator and different numerator values;

The integer value of the numerator 5 can be divided into 3 different whole Number values ;

It could be :

5 = 3 + 1 + 1

5 = 2 + 2 + 1

Hence, we could have ;

3/6 +. 1/6 + 1/6

Or

2/6 + 2/6 + 1/3

8 0
2 years ago
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