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
Murrr4er [49]
2 years ago
7

If x²-5x +1 =0, what is the value of -

d="TexFormula1" title="(x + \frac{1}{x} ) " alt="(x + \frac{1}{x} ) " align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
ra1l [238]2 years ago
8 0
<h3>Answer:   5</h3>

=================================================

Work Shown:

x^2 - 5x + 1 = 0

x^2 + 1 - 5x = 0

x^2 + 1 = 5x

(x^2 + 1)/x = 5    .... where x is nonzero

(x^2)/x + (1/x) = 5

x + (1/x) = 5

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

An alternative method involves solving the original equation using the quadratic formula. After you get the two roots x = p and x = q, you should be able to find that p + 1/p = 5 and also q + 1/q = 5 as well.

In this case,

p = (5 + sqrt(21))/2

q = (5 - sqrt(21))/2

NNADVOKAT [17]2 years ago
5 0

Answer:

5

Step-by-step explanation:

Since this equation is not factorable, you can either use the quadratic formula, graph and look for its zeros, or other methods to get it's zeros.

But using the quadratic formula which always spits out a x value gives me:

4.791 and 0.209.

Now let's test both of these values since we have two x values.

(4.791+\frac{1}{4.791}) ≈5 (4.9999)

and

(0.209+\frac{1}{0.209}) ≈5 (4.9936)

You might be interested in
What two numbers multiply to 20 and add up to 9
prohojiy [21]

Answer:

5 and 4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Sana's mother bought produce for Sunday dinner. She bought one more pound of peaches than of tomatoes. She bought 3 times as man
Elenna [48]

1(Identifying):

Tomatoes-x--$3 per lb

Mushrooms- 1/3 x-- $10 per lb

Peaches- x+1-- $6 per lb

2(Equation):

3x+6(x+1)+1/3x*10=80

3x+6x+6+10/3 x=80

12 1/3 x= 74

x=74÷(12+1/3)

Step 3(Final Equations):

74*3/37=6=tomatoes

Meaning...

6+1=7=Peaches

6/3=2= mushrooms

Answer:

7 lb of peaches, 6 lb of tomatoes, and 2 lb of mushrooms

7 0
2 years ago
Read 2 more answers
Paulo is creating a confidence interval based on sample data for the percentage of Americans that own a dog. His work is shown b
Gekata [30.6K]

Answer:

Checked on edg. , the answer is A. Thanks!

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Does anyone know the correct choice for this question? If its correct ill mark you as the best answer choice! Please!
Alchen [17]

Answer:

the answer is H. it's slope is 5/4 which is the opposite reciprocal of -4/5 and that makes the lines perpendicular.

7 0
2 years ago
What is the area of this figure? Select from the drop-down menu to correctly complete the statement. The area of the figure is c
melomori [17]

Answer:

The answer is 146

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Simplify the expression write the expression in scientific notation (5 times 10^7) (6 times 10^4)
    10·2 answers
  • Mr. and Mrs. Delgado each own an equal number of shares of stock. Mr. Delgado sells 1/3 of his shares for $2700. What was the to
    12·1 answer
  • I need help with this hw please
    13·1 answer
  • What’s 4x(6x+72)<br> For x=7
    5·2 answers
  • Is - 735,200-702 positive or negative
    11·2 answers
  • Question 4 Simplify the expression below 88/4+7X(3+6)*<br>O<br>A 85<br>B 72<br>C 261<br>D 38​
    5·1 answer
  • Jurgen runs a 26-mile race in 5 hours. Greta runs a 15-mile race in 2 hours. Who runs at a slower rate?
    5·2 answers
  • Answer plz plz plz plz plz
    12·2 answers
  • FULL EXPLANATION PLEASE<br> WILL MARK BRAINLIST!! :)
    12·1 answer
  • Roxanne likes to fish. She estimates that 30% of the fish she catches are
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!