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
Tcecarenko [31]
3 years ago
12

How do I solve this?​

Mathematics
1 answer:
ch4aika [34]3 years ago
4 0

Answer:

x =  \frac{3}{2}  +  \frac{ \sqrt{5} }{2} ; \:  \: x = \frac{3}{2}   -  \frac{ \sqrt{5} }{2}

Step-by-step explanation:

1 +  \frac{1}{ {x}^{2} }  =  \frac{3}{x}  \\  \\  \frac{ {x}^{2} + 1 }{ {x}^{2} }  =  \frac{3}{x}  \\  \\  {x}^{2}  + 1 =  \frac{3 {x}^{2} }{x}  \\  \\  {x}^{2}  + 1 = 3x \\  \\  {x}^{2}  - 3x + 1 = 0 \\  equating \: it \: with \\ a {x}^{2}  + bx + c = 0 \\ a  = 1 \\ b =  - 3 \\ c = 1 \\  \\ x =  \frac{ - b \pm \sqrt{ {b}^{2}  - 4ac} }{2a}  \\  \\  x =  \frac{ - ( - 3) \pm \sqrt{ {( - 3)}^{2}  - 4 \times 1 \times 1} }{2 \times 1}  \\  \\ x =  \frac{ 3 \pm \sqrt{ {9  - 4}} }{2}  \\  \\ x =  \frac{ 3 \pm \sqrt{ {5}} }{2}  \\  \\ x =  \frac{3}{2}  +  \frac{ \sqrt{5} }{2} ; \:  \: x = \frac{3}{2}   -  \frac{ \sqrt{5} }{2}

You might be interested in
A tailor cut 3/4 of an inch off a skirt and 1/6 of an inch off a pair of pants. How much more did the tailor cut off the skirt t
Harrizon [31]
2/6 because if you subtract 3/4 and 1/6 you will get 2/6
3 0
3 years ago
Bob is testing his friend on how smart he is. He wrote the following:
____ [38]

Answer:

2014 is when she had him and he is 7 i think i got it right

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the domain of f (x) = 4 + 2x on a graph when the range is (0,6)
galina1969 [7]

Answer:

(-2, 1).

Step-by-step explanation:

When f(x) = 0

4 + 2x = 0

2x = -4

x = -2.

Ehen f(x) = 6

4 + 2x = 6

2x = 6-4 = 2

x = 1.

4 0
2 years ago
Help a pimp out with this geometry
Katen [24]

Using the Pythagoras theorem since it is given that it is a right angled triangle


  let us name the triangle as A, B, C  with B as right angle

   AB^2 + BC^2 = AC^2   ( Pythagoras theorem)

   where AB = 4  , BC = 7 , AC = x

6 0
2 years ago
A map of Brasilia has a scale of 1 inch to 5 miles. If the city is 2 7/16 inches across on the map, what is the distance across
Vinvika [58]
The answer is c because that is what the website said with the exact same question , I hope you don't need to show your work but the correct answer is c
7 0
3 years ago
Read 2 more answers
Other questions:
  • Jason watched a caterpillar move 10 feet in 2 minutes. Jason says that the caterpillars unit rate is 0.2 feet per minute. Is Jas
    9·1 answer
  • A number decreased by 23 is 44.
    11·1 answer
  • Using this number line, which of the following orderings is correct?
    12·1 answer
  • What times 8 equals 15
    11·2 answers
  • 5(t+3)+2(3t+4)-(5t-3)
    10·2 answers
  • Write an algebraic expression for the phrase the sum of g and 3.
    8·1 answer
  • 8≤ 11x-(2x-12) how do you slove this
    5·2 answers
  • Find the following values of p(x)<br> P(-3)<br> P(7)
    6·1 answer
  • GUYS PLEASE HELP ME PLEAS PLEASE PLEASE FOR THE LOVE OF GOD
    9·1 answer
  • Create 3 different graphs that model the three kinds of systems of equations solutions. Do not put them all on the same graph.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!