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choli [55]
2 years ago
7

Find two consecutive negative odd integers whose product is 35?

Mathematics
2 answers:
anygoal [31]2 years ago
5 0

Answer:36

Step-by-step explanation:

katovenus [111]2 years ago
5 0

Step-by-step explanation:

let, a required negative number be x

then it's cnsecutive odd negative. be x+2

now,

x \times (  x + 2) = 35 \\ or \:  \:  {x}^{2}  \:   +  2x = 35 \\    {x}^{2}  + 2x   = 35 \\  {x}^{2}   +  2x - 35 = 0 \\  {x}^{2}   + 7x  -  5x - 35 = 0 \\ x(x  + 7)  -  5(x  +  7) = 0 \\ (x  + 7) (x  - 5) = 0 \\  \\ now \:  \:  \:  \:  \:  \:  \:either \:  \: x  +  7 = 0 \\ x =  - 7\\  \\or \:  \:  \:  \:  \: (x  - 5) = 0 \\ x  =  5

since ,

we have supposed a negative number ,

,

we need negative odd number so,

x = -7

and it's consecutive number will be x+2

so, it is. -7+2 = -5

hence ,

-7 *and -5 are the required answer.

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Answer:

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Step-by-step explanation:

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Por favor ayúdeme con mi tarea de matemáticas... Son ecuaciones<br> 2x + 4y=10<br> -x+5=9
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What is the difference between a factor of a number and a multiple of a number? use the number 25 has an example
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Step-by-step explanation:

<h3>Factors</h3>

A set of factors of a number (N) is a set of integers {f1, f2, f3, ...} whose product is the number:

  f1 × f2 × f3 × ... = N

Often the term "factors" is used to mean "prime factors," the set of prime numbers whose product is N.

When N = 25, the prime factors are {5, 5}. That is ...

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<h3>Divisors</h3>

A "divisor" of a number is a sub-multiple of N. That is, the quotient N/k is an integer for some divisor k of N. Usually, we're interested in integer divisors. All prime factors will be integer divisors of N. The term "factor" is often used when the term "divisor" is meant.

Divisors of N = 25 include 1, 5, and 25. There will be an odd number of integer divisors (as here) if the number N is a perfect square.

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<h3>Multiples</h3>

For an integer k, the value k×N is called a <em>multiple</em> of N, often, the <em>k-th multiple</em> of N.

Multiples of 25 include 25, 50, 75, 100, 125, and any other decimal number ending in 25, 50, 75, or 00.

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<em>Another example</em>

When N=30, the prime factors are {2, 3, 5}. The divisors are {1, 2, 3, 5, 6, 10, 15, 30}. (Note there are an even number of divisors.) Multiples of 30 include 30, 60, 90, 120, ....

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