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velikii [3]
3 years ago
10

Solve for x: 2(7x – 6) = 30

Mathematics
2 answers:
solong [7]3 years ago
7 0

Answer:

X=3

Step-by-step explanation:

2 times 7x = 14x

2 times -6 = -12

14x-12=30

(+12)

14x=42

(÷14)

X=3

sertanlavr [38]3 years ago
3 0

Answer: x = 3

Step-by-step explanation:

2(7x - 6) = 30

14x - 12 = 30

     + 12  +12

14x = 42

/14    /14

x = 3

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Bumek [7]
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What number should be added to both sides of the equation to complete the square?<br> x2 - 6x = 5
ikadub [295]

Answer:

First of all, it is better to note that x2 is not equal to x² .In mathematics x2 is equal to 2nd x or 2x i.e. 2 times x=2*x=x*2.

I don't know what this question means ! But if it means to just confine x2 and -6x in a square or to make them part of a square then it could be done as follows.

Assume x2 as x² as per your needs as case may be.

Now use the identity

(a² - 2a×b + b²) =(a - b )²

Here , in LHS

a appears twice as in a² and in 2a×b.

So for given expression (x2 – 6x = 5) or (x² – 6x = 5) or (x² - 6x -5 =0)

Assume x=a

Then,

6x =2*x*3 =2*a*b

=> 3 = b

Thus

(x² - 6x -5 =0)

=> x² - 2*x*3 + 3² -3² -5 =0

=> ( x² - 2*x*3 + 3² ) - 3² -5 =0

=> (x - 3)² - 3² = 5

=> (x - 3)² = 5 + 3²

=> (x - 3)² = 5 + 9 = 14 = ( ±√(14) )²

Now comparing

(x² – 6x = 5) and (x - 3)² = 5 + 9,

it can be said that number 9 should be added to both sides of (x² – 6x = 5) or (x² – 6x) = ( 5 ) to make ( x² ) and (-6x ) as the constituting parts of the square (x-3)² .

I hope it helps.

Thank you  for patiently reading it.

6 0
3 years ago
On Mcdonald’s farm there is a total of 50 chickens and cows. If there are 118 legs, how many chickens are there?
Svet_ta [14]

Answer:

There are 41 chickens and 9 cows

Step-by-step explanation:

9(4) = 36

41(2) = 82

82 + 36 = 118

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3 years ago
Evaluate the expression 3a-2(b+9+), where a=5 and b=6
Vadim26 [7]

Answer: -15

Step-by-step explanation:

7 0
3 years ago
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