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jekas [21]
3 years ago
14

Solve by completing the square.

Mathematics
1 answer:
enot [183]3 years ago
8 0

Answer:

x^2 -8x -5 = -3

x^2 -8x -2 = 0

We complete the square by:

1) Moving the "non X" term to the right:

x^2 -8x  = 2

2) Dividing the equation by the coefficient of X²

The coefficient of x is 1 so we don't do anything

3) Now here's the "completing the square" stage in which we:

      • take the coefficient of X

that is -8

     • divide it by 2

-8 ÷ 2 = -4

     • square that number

-4*-4 = 16

     • then add it to both sides of the  equation.

x^2 -8x +16 = 2 +16

That becomes

(x -4)^2 = 18

we take the square root of both sides:

(x -4) = sqr root (18)

x1 = sqr root (18) +4

AND

(x+4) = sqr root (18) -4

x1 =  sqr root (18) +4 = 4.2426406871  + 4 = 8.2426406871

x2 = sqr root (18) -4 =  = 4.2426406871  - 4 = .2426406871

       

Step-by-step explanation:

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-694

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Please help I with give Brainiest if correct
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Answer:

  Perimeter of the rectangle  = 6 x +20

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the length of the rectangle = 2x +3

Given that the width of the rectangle = x +7

Perimeter of the rectangle   = 2(length + width)

<u>Step(ii):-</u>            

  Perimeter of the rectangle   = 2(length + width)

                                                  = 2(2 x +3 + x+7)

                                                 =  4x +6+2x+14

                                                 = 6 x +20        

<u><em>Final answer:-</em></u>

 Perimeter of the rectangle  = 6 x +20

 Perimeter of the rectangle  = o x² + 6 x + 20

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Each side of a square calendar is 19 inches long. What is the calendar's perimeter?
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Answer Expert Verified

4.4/5

97

Golda

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Solution :-

Following are the population of five major cities of India according to the Census of 2011.

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a) Indian System :

1,24,42,373 - One Crore Twenty Four Lakh Forty Two Thousand Three Hundred Seventy Three.

b) International system :

12,442,373 - Twelve Million Four Hundred Forty Two Thousand Three Hundred Seventy Three.

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a) Indian System :  

1,10,34,555 - One Crore Ten Lakh Thirty Four Thousand Five Hundred Fifty Five.

b) International System :

11,034,555 - Eleven Million Thirty Four Thousand Five Hundred Fifty Five.

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a) Indian System :

84,43,675 - Eighty Four Lakh Forty Three Thousand Six Hundred Seventy Five.

b) International system :

8,443,675 - Eight Million Four Hundred Forty Three Thousand Six Hundred Seventy Five.

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a) Indian System :

67,31,790 - Sixty Seven Lakh Thirty One Thousand Seven Hundred Ninety.

b) International System :

6,731,790 - Six Million Seven Hundred Thirty One Thousand Seven Hundred Ninety.

5) Ahmedabad  

a) Indian System :  

55,77,940 - Fifty Five Lakh Seventy Seven Thousand Nine Hundred Forty.

b) International System :

5,577,940 - Five Million Five Hundred Seventy Seven Thousand Nine Hundred Forty.

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After 10 years there will be $22,400 in the account.
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