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
zhannawk [14.2K]
3 years ago
12

If a = 4 - √15, find a^4 +1\a^4

Mathematics
1 answer:
Luden [163]3 years ago
7 0

Answer:

(\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2}  -4\\

Step-by-step explanation:

a=4-\sqrt{15}

a^{4} +\frac{1}{a^{4} }\\=a^{2^{2} } +\frac{1}{a^{2^{2} } }\\\\=(x^{2} +\frac{1}{a^{2} } )^{2} -2a^{2} \frac{1}{a^{2} } \\=(a +\frac{1}{a } )^{2} -2a \frac{1}{a}-2\\=(4-\sqrt{15} +\frac{1}{4-\sqrt{15} }) ^{2} -4\\\=(\frac{16-15-4+\sqrt{15} }{4-\sqrt{15} })^{2}  -4\\=(\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2}  -4\\

You might be interested in
Miranda packed 19 glass ornaments into each box.she filled 5 boxes.what is the total number of ornaments in the boxes?
inna [77]
You have to take 19 and multiply it by 5 for each number of box.  Therefore 19x5 equals 95.  So 95 is your answer
5 0
4 years ago
Which shows the list of numbers in order from least to greatest?<br> -4.2, -4/5, -1, -2, 3.5
Dmitrij [34]

Answer:

-4.2, -2, -1, -4/5, 3.5

Step-by-step explanation:

7 0
3 years ago
Equations!! PLS HELP ASAP!!
Likurg_2 [28]

Step-by-step explanation: Let  

Let  

y

be the total fee, and  

x

the number of months.

Equation 1:

y

=

50

+

55

x

Equation 2:

y

=

200

+

45

x

Solve the system for  

x

and

y

:

50

+

55

x

=

200

+

45

x

10

x

=

150

x

=

15

y

=

200

+

45

(

15

)

y

=

875

∴

The total amount paid to both gyms is equal after  

15

months and will be  

$

875

.

Hopefully this helps!

4 0
4 years ago
Simplify the expression: 3(5x)
Mademuasel [1]

Answer: +15x

Explanation: Don't be thrown off if a variable like <em>x</em> is introduced in a multiplication problem that involves positives and negatives.

To simplify (+3) (+5x), it's important to understand that a positive times a positive is a positive. So (+3) (+5x) is +15x.

7 0
4 years ago
,.....................................
boyakko [2]

\frac{x^{0}*y^{-3}}{x^{2}*y^{-1}} =      \frac{1}{x^{2}*y^{3-1}} = \frac{1}{x^{2}*y^{2}}

Answer.C.) \frac{1}{x^{2}y^{2}}

\textbf{Spymore}​​

4 0
4 years ago
Other questions:
  • Helppp please if anyone know
    8·2 answers
  • Christian randomly selects students from his grade to rate a math test as easy, moderate, or difficult. Of the students he surve
    10·2 answers
  • Name the property the equation illustrates 2(-3/9)=(-3/9)2
    7·2 answers
  • How do you solve #4 with a proportion
    8·1 answer
  • Anthony drew plans for a triangular porch determine if the triangle can be made justify ur repsonse
    8·1 answer
  • A. Does the table represent a proportional relationship?
    8·1 answer
  • In 25 minutes Li can run 10 laps around the track find the constant of proportionality
    5·1 answer
  • Tabitha's mom is trying to decide between two plumber companies to fix her sink.
    7·1 answer
  • Michael buys a basket of mangoes on sale for $4 before tax. The sales tax is 12%. what is the total price Michael pays for the b
    9·2 answers
  • 898÷91,596 what is the answer
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!