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
timama [110]
3 years ago
6

If a+1/a=3What is the answer? a⁵+1/a⁵​

Mathematics
1 answer:
luda_lava [24]3 years ago
5 0

Answer:

123

Step-by-step explanation:

We can square and cube the equation, then multiply the results together.

(a + \frac{1}{a}) = 3 ← square both sides

a² + 2 + \frac{1}{a^2} = 9 ( subtract 2 from both sides )

a² + \frac{1}{a^2} = 7 → (1)

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

Now cube both sides

a³ + \frac{1}{a^3} + 3(a + \frac{1}{a}) = 27

a³ + \frac{1}{a^3} + 3(3) = 27

a³ + \frac{1}{a^3} + 9 = 27 ( subtract 9 from both sides )

a³ + \frac{1}{a^3} = 18 → (2)

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

Multiply (1) and (2)

(a² + \frac{1}{a^2} )(a³ + \frac{1}{a^3} ) = 7(18)

a^{5}  + ( \frac{1}{a} + a) + \frac{1}{a^5} = 126

a^{5} + 3 + \frac{1}{a^5} = 126 ( subtract 3 from both sides )

a^{5} + \frac{1}{a^5} = 123

You might be interested in
A number t is less than or equal to 5
Pavel [41]
It would be written as
T < 5, but there would be a line underneath the less then sign
4 0
3 years ago
What is f. 8=8f because i dont understand it
Digiron [165]

Answer:

F=1

Step-by-step explanation:

8=8x1

4 0
2 years ago
Hillary can read 560 words in seven minutes how many words can Hillary read in one minute
Lorico [155]
560 / 7 = 80

<span>Hillary can read 80 words per minute.

</span><span>I hope this helps :)</span>
3 0
3 years ago
What is 2 7/5 as a decimal?
Usimov [2.4K]
2 \frac{7}{5} = 2 + \frac{5}{5} + \frac{2}{5} =3 \frac{2}{5}=3.4
3 0
3 years ago
The volume of a solid right pyramid with a square base is V units3 and the length of the base edge is y units.
Evgen [1.6K]

Answer:

Height of the pyramid = 3v/y² units

Step-by-step explanation:

We are given;

- The volume of a solid right pyramid with a square base = v units³

- The length of the base edge = y units

The formula for volume of a pyramid is given as;

V = ⅓ x base area x height.

Since the base is square, we will use the formula for square area which is A = side × side.

Thus, v = ⅓ × (y × y) × height

Making height the subject, we have;

Height = 3v/y²

height of the pyramid would be given by the expression 3v/y² units

5 0
3 years ago
Other questions:
  • Solve using the quadratic formula.
    7·1 answer
  • Suppose that 44% of all Americans approve of the job the president is doing. The most recent Gallup poll consisted of a random s
    5·1 answer
  • Evaluate 4^radical sign 8 to the nearest ten thousandth.
    6·1 answer
  • Part 4. Find the missing sides for the 30 60 90 triangles. Please show work for each​
    5·2 answers
  • If m ∆ n means m²-2mm+n³, determine the value of 3∆2.​
    5·2 answers
  • Sara has 600 quarters and dimes in her piggy bank which totals $123.75. How many quarters and
    11·1 answer
  • Please someone help me please due in 10 min
    8·2 answers
  • I need this answer asap !!
    12·2 answers
  • Find the SURFACE AREA of the shape below.
    9·1 answer
  • Jabes travelled 3406km in 8days. if he travelled the same distance every day, how many kilometers did he travel per day?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!