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topjm [15]
2 years ago
15

A number minus the product of 36 and its reciprocal is less than zero. Find the numbers which satsify this condition​

Mathematics
1 answer:
svetlana [45]2 years ago
5 0

Answer:

A number minus the product of

4

and its reciprocal is less than zero. Find the numbers which satisfy this condition.

AAny number less than

−

2

or between

0

and

2

BAny number between

−

2

and

2

CAny number less than

2

DAny number between

0

and

2

Solution

Let the number be x

Then

x

−

(

4

×

1

x

)

≤

0

⇒

x

≤

4

x

⇒

x

2

≤

4

⇒

|

x

|

≤

2

⇒

−

2

≤

x

≤

2

Step-by-step explanation:

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Solve for x.<br><br> (x−2)^2+2=38<br><br> x= ___ or x= ___
Elan Coil [88]

Answer:

x  \: = \:  \boxed{ \bold{  - 4  }}\:    \:    \text{or} \:   \: x \:  = \:  \boxed{ \bold{ 8}}

Step-by-step explanation:

(x \:  -  \: 2 {)}^{2}  \:  +  \: 2 \:  =  \: 38

{x}^{2}  \:  -  \: 4x \:  +  \: 4 \:  +  \: 2 \:  =  \: 38

{x}^{2}  \:  -  \: 4x \:  +  \: 6 \:  =  \: 38

{x}^{2}  \:  -  \: 4x \:  +  \: 6 \:  -  \: 38 \:  =  \: 0

{x}^{2}  \:  +  \: 4x \:  -  \: 8x \:  -  \: 32 \:  =  \: 0

x \:  \times  \: (x \:  +  \: 4) \:  -  \: 8(x \:  +  \: 4) \:  =  \: 0

(x \:  +  \: 4) \:   \times  \: (x \:  -  \: 8) \:  =  \: 0

  • When it happens that the product of the factors is the same as zero. It is divided into two possible cases.

x \:  +  \: 4 \:  =  \: 0 \\ x \:  -  \: 8 \:  =  \: 0

  • We solve the two equations:

x \:  =  \:  - 4 \\ x \:  =  \: 8

<h2>Answer: </h2>

x \:  =  \:  - 4 \\ x \:  =  \: 8

<h3><em><u>MissSpanish</u></em></h3>

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