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
vodka [1.7K]
3 years ago
8

what positive number satisfies the condition that twice the number minus three times the reciprocal of the number is equal to 1?

Mathematics
1 answer:
marshall27 [118]3 years ago
8 0
Solve:

"<span>twice the number minus three times the reciprocal of the number is equal to 1."
                                                     3(1)
Let the number be n.  Then 2n - ------- = 1
                                                       n

Mult all 3 terms by n to elim. the fractions:

2n^2 - 3 = n.  Rearranging this, we get 2n^2 - n - 3 = 0.

We need to find the roots (zeros or solutions) of this quadratic equation.

Here a=2, b= -1 and c= -3.  Let's find the discriminant b^2-4ac first:

disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.

That's good, because 25 is a perfect square.
                -(-1) plus or minus 5         1 plus or minus 5
Then x = ------------------------------ = --------------------------
                            2(2)                                  4

x could be 6/4 = 3/2, or -5/4.

You must check both answers in the original equation.  If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
You might be interested in
On a piece of paper, use a protractor to construct right triangle DEF with DE=4 in. , m∠D=90° , and m∠E=45° . What statement is
Makovka662 [10]
I think the second one hope this helps
3 0
3 years ago
Two step inequalities khan Academy. Anybody know this answer?????
BartSMP [9]
The answer to this is C.
3 0
3 years ago
Read 2 more answers
A fair coin is tossed three times. What is the probability of obtaining one Head and two Tails?(A fair coin is one that is not l
emmainna [20.7K]
3/8 is the answer ;)
7 0
3 years ago
What is the answer h+6\5=2
nexus9112 [7]

Answer:

h = 4/5

Step-by-step explanation:

h + (6/5) = 2

h = 2 - (6/5)

h = (10/5) - (6/5)

h = (10-6)/5

h = 4/5

Check:

(4/5) + (6/5) = 2

10/5 = 2

8 0
3 years ago
Jill uses 10 gallons of
gogolik [260]

Answer:

40 gallons of gas is used

Step-by-step explanation: 10 times 4 because 4 times 50 is 200

8 0
3 years ago
Other questions:
  • Which fractions are equievalent? a.20/5 b.-20/5 c.20/-5 d. -20/-5 e.- 20/5
    6·1 answer
  • 10m/
    11·1 answer
  • N-8=-4+5n solve for n.
    15·1 answer
  • 6y−3(4/3y−2) Simplified please?
    6·2 answers
  • Please answer a through d
    10·1 answer
  • When the Nelsons sold their house they paid the realtor a
    7·1 answer
  • PLEASE HELP WILL GIVE BRANLIEST
    5·1 answer
  • Find the output, y, when the input, x, is 7. <br> y=__
    7·2 answers
  • Carlos and his friend are sharing some leftover pasta. If 1/4 of the pasta is left, how much will they each get?​
    15·2 answers
  • The tens digit of a two-digit number is five more than the units digit. Seven times the sum of the digits of this number is 3 le
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!