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alex41 [277]
3 years ago
11

If 2a+ 2/a =4, what is the value of 2a^2− 2/a^2 ?

Mathematics
1 answer:
aliina [53]3 years ago
5 0

Answer:

0

Step-by-step explanation:

2a+ 2/a =4

Multiply each side by a to clear the fraction

a( 2a+ 2/a) =4*a

Distribute

2a^2 +2 = 4a

Subtract 4a from each side

2a^2 -4a +2 = 4a-4a

2a^2 -4a +2 =0

Divide by 2

2/2 a^2 -4a/2 +2/2 =0/2

a^2 -2a +1=0

Factor

(a-1) (a-1) =0

Using the zero product property

a=1

2a^2 -2/a^2

2(1)^2 -2/1^2

2-2

0

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I don't understand how to solve this, please help!
murzikaleks [220]

Answer:

x+1 , x<-1

x²-bx-4  , -1≤x≤4

1/2 x +a

substitute x=-1 , continuous everywhere

x+1=x²-bx-4 when x=-1

-1+1=-1²-b-4

<h2>1+b-4=0 ⇒ +b-3 ⇒ b=3</h2>

then for :

x²-bx-4=1/2 x +a for x=4

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16-4(3)-4=4/2+a

16-12-4-2=a

<h2>a=-2</h2>

the equations will be :

x+1

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I hope this help

7 0
3 years ago
2 women and 7 girls can do a peice of work in 4 days.4 women and 4 girls can do the same work in 3 days. How long would it take
svetlana [45]

Answer:

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y: work a girl can do in 1  day

Then

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=> 1 day, a woman and a girl can do: 1/60+4/60 = 5/60 =1/12 (work)

Then, the day required for a woman and a girl to complete work: 12 days

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