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elixir [45]
3 years ago
6

Factorize :3y²-54y+343​

Mathematics
1 answer:
arlik [135]3 years ago
6 0

1 In general, given

a

x

2

+

b

x

+

c

ax

2

+bx+c, the factored form is:

a

(

x

−

−

b

+

b

2

−

4

a

c

2

a

)

(

x

−

−

b

−

b

2

−

4

a

c

2

a

)

a(x−

2a

−b+

b

2

−4ac

​

​

)(x−

2a

−b−

b

2

−4ac

​

​

)

2 In this case,

a

=

3

a=3,

b

=

−

54

b=−54 and

c

=

343

c=343.

3

(

y

−

54

+

(

−

54

)

2

−

4

×

3

×

343

2

×

3

)

(

y

−

54

−

(

−

54

)

2

−

4

×

3

×

343

2

×

3

)

3(y−

2×3

54+

(−54)

2

−4×3×343

​

​

)(y−

2×3

54−

(−54)

2

−4×3×343

​

​

)

3 Simplify.

3

(

y

−

54

+

20

3

ı

6

)

(

y

−

54

−

20

3

ı

6

)

3(y−

6

54+20

3

​



​

)(y−

6

54−20

3

​



​

)

4 Factor out the common term

2

2.

3

(

y

−

2

(

27

+

10

3

ı

)

6

)

(

y

−

54

−

20

3

ı

6

)

3(y−

6

2(27+10

3

​

)

​

)(y−

6

54−20

3

​



​

)

5 Simplify

2

(

27

+

10

3

ı

)

6

6

2(27+10

3

​

)

​

to

27

+

10

3

ı

3

3

27+10

3

​



​

.

3

(

y

−

27

+

10

3

ı

3

)

(

y

−

54

−

20

3

ı

6

)

3(y−

3

27+10

3

​



​

)(y−

6

54−20

3

​



​

)

6 Factor out the common term

2

2.

3

(

y

−

27

+

10

3

ı

3

)

(

y

−

2

(

27

−

10

3

ı

)

6

)

3(y−

3

27+10

3

​



​

)(y−

6

2(27−10

3

​

)

​

)

7 Simplify

2

(

27

−

10

3

ı

)

6

6

2(27−10

3

​

)

​

to

27

−

10

3

ı

3

3

27−10

3

​



​

.

3

(

y

−

27

+

10

3

ı

3

)

(

y

−

27

−

10

3

ı

3

)

3(y−

3

27+10

3

​



​

)(y−

3

27−10

3

​

I hope this help you

​

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Answer:

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Step-by-step explanation:

Step 1: solve the equation with only one variable

Isolate the variable (x)

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x = -9 - 10

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Step 2: input new information into the other equation

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liberstina [14]

Answer:   a) -240

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4 0
4 years ago
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Nataly_w [17]

Answer:

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Step-by-step explanation:

The ratio of areas of similar figures is the square of the ratio of linear dimensions. That means the ratio of linear dimensions is the square root of the area ratio. The ratio of the smaller triangle dimensions to the larger is then ...

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5 0
3 years ago
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