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prohojiy [21]
3 years ago
8

X+ 1/x =5 what is the value x²+1/x²?

Mathematics
1 answer:
irga5000 [103]3 years ago
3 0
X+ 1/x= 5
⇒ (x+ 1/x)^2= 5^2
⇒ (x+ 1/x)^2= 25
⇒ x^2+ 2(x)(1/x)+ 1/x^2= 25
⇒ (x^2+ 1/x^2)+ 2*1= 25
⇒ x^2+ 1/x^2= 25 -2
⇒ x^2+ 1/x^2= 23

The final answer is 23~
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Can someone help me please
Blizzard [7]

Answer:

Area=76.56 square feet

Step-by-step explanation:

area of a rectangle =base*height = 5ft*8ft= 40 square feet

area of a triangle=(base*height)/2 =(4ft*4ft)/2= 8 square feet

area of a square=base*height =4ft*4ft= 16 square feet

area of a circle =\pi* r^{2}[/tex]=3.14*2^{2}= 12.56 square feet

r = radius

Total area=(40+8+16+12.56)square feet

Total area=76.56square feet

3 0
3 years ago
the ages of three siblings are all consecutive integers the sum of their ages is 39 how old is the youngest sibling variable equ
Verdich [7]

Answer:

Step-by-step explanation:

Let x = the age of the youngest child

Let x + 1 = the age of the middle child

Let x + 2 = the age of the oldest child

x + x + 1 + x + 2 = 39

3x + 3 = 39

3x = 36

x = 12 years

8 0
2 years ago
Manny can paint the office​ by himself in 5 hours. Dave can do the same job in 8 hours. How long will it take them to do it work
Alex Ar [27]

Answer:

3 hrs 4.6 mins

Step-by-step explanation:

1/5 + 1/8 = 1/x

x = 40/13

3 0
2 years ago
Two students walk in the same direction along a straight path, at a constant speed - one at .90 m/s and the other at 1.90 m/s.a.
anyanavicka [17]

Answer:

a)The second student arrive 7 minutes and 36 seconds sooner

b)They have to walk 598,51 m

Step-by-step explanation:

Speed= Distance/Time

We are looking for time now

Time = Distance/Speed

First student

Time = 780 m/0.90 m/s=866,66 seconds

Second student

Time = 780 m/1.90 m/s=410,52 seconds

Difference=866,66-410,52= 456,14 seconds

In minutes

Difference= 456,14 seconds /60=7 minutes 36 seconds

Distance=Speed x Time

Speed¹ x Time¹ =Speed² x Time²

Time¹= Time² + 5.50 min

5.50 min =350 seconds

Time²  =Speed¹ x Time¹ /Speed²

Time²  =Speed¹ x (Time² + 350 seconds  ) /Speed²

Time²  =0.9 x (Time² + 350 seconds  ) /1.9

Time²  =0,4737 x (Time² + 350 seconds  )

Time²  =0,4737 Time² + 165,79 seconds

Time²  - 0,4737 Time² = 165,79 seconds

0,5263 Time² = 165,79 seconds

Time² = 165,79 seconds/0,5263 =315,01 seconds

Distance=1,9 x 315,01 seconds = 598,51 m

5 0
3 years ago
Solve each equation. Check your solution.<br> 9= 4a + 13<br> Oa. -16<br> Ob. -1<br> c. 1<br> Od 5
Paha777 [63]

Answer:

b. -1

Step-by-step explanation:

9=4a+13

-13    -13

--------------

-4=4a

4a/-4

a=-1

4 0
3 years ago
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