1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tangare [24]
3 years ago
15

If x2+1/x2=18, find the value of x3−1/x3

Mathematics
2 answers:
Elden [556K]3 years ago
7 0

Answer:

There are 2 answers : 76 or -76

Step-by-step explanation:

x^2+\dfrac{1}{x^2} =18\\\\(x-\dfrac{1}{x} )^2=x^2+\dfrac{1}{x^2} -2=18-2=16\\\\x-\dfrac{1}{x}=4\ or\ x-\dfrac{1}{x}-4\\\\(x-\dfrac{1}{x} )^3=x^3-\dfrac{1}{x^3} -3x^2*\dfrac{1}{x}+3x*\dfrac{1}{x^2}\\\\=x^3-\dfrac{1}{x^3}-3(x-\dfrac{1}{x})\\\\x^3-\dfrac{1}{x^3}=(x-\dfrac{1}{x} )^3+3(x-\dfrac{1}{x})\\\\if\ x-\dfrac{1}{x}=4\ then \ x^3-\dfrac{1}{x^3}=4^3+3*4=64-12=76\\\\if\ x-\dfrac{1}{x}=-4\ then \ x^3-\dfrac{1}{x^3}=(-4)^3+3*(-4)=-64-12=-76\\\\

makvit [3.9K]3 years ago
7 0

Please find attached photograph for your answer.

You might be interested in
6а – 2а = -48<br> Need help
Alona [7]

Step-by-step explanation:

6а – 2а = -48

4a=-48

a=-12

3 0
3 years ago
Read 2 more answers
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
Fed [463]

Answer:

Step-by-step explanation:

6 0
3 years ago
HELP ASAPPPPPPPPPPPPPPPPP
eimsori [14]

Answer:

b. Kilograms

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
On a coordinate plane, 5 squares are shown. Square L M N P has points (negative 3, 1), (negative 1, 1), (negative 1, negative 1)
hodyreva [135]

Answer:

the answer is 4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the simplified expression for the expression below? -1/5(5x+20)-1/4(4x-28)
e-lub [12.9K]

You need to distribute the numerical factors for each term in the parenthesis:

\dfrac{-1}{5}(5x+20)-\dfrac{1}{4}(4x-28) = \dfrac{-1}{5}\cdot 5x + \dfrac{-1}{5}\cdot 20 + \dfrac{-1}{4} \cdot 4x + \dfrac{-1}{4} \cdot (-28)

This equals

-x-4-x+7 = -2x+3

7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the area of a circle with a radius of 21 feet. Use 22/7 for pi.
    7·1 answer
  • What do the following two equations represent? 4x-2y=-5 and -2x+3y=-3
    7·2 answers
  • Identify any extrema of the function by recognizing its given form or its form after completing the square. Verify your results
    6·1 answer
  • I need help what is the surface area of the triangular pyramid in the figure?
    6·1 answer
  • Two angles are supplementary. One angle measures 2x, and the other angle measures 3x - 15. Which equation can you use to find th
    5·2 answers
  • A hiker begins at sea level and descends 25 feet every minute. How long will it take to get to an elevation of -750 feet?
    15·2 answers
  • Hii! Please helpppp!! This was due like 3 days ago lol
    7·2 answers
  • I need to know the equivalent expressions to √4^3.
    11·1 answer
  • Wanda wears purple for the whole
    5·1 answer
  • Paint sells in metal cans one gallon each. How many gallons of paint must be purchased to paint a room containing 840 square fee
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!