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
givi [52]
3 years ago
5

HELP ME QUICK PLEASEEEE solve for x: 2/x-2+7/x^2-4=5/x

Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

 

\displaystyle\\\\\frac{2}{x-2}+\frac{7}{x^2-4}=\frac{5}{x}\\\\\frac{^{x+2)}2~~~~~}{x-2}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2(x+2)}{(x-2)(x+2)}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2x+4+7}{x^2-4}=\frac{5}{x}\\\\\frac{2x+11}{x^2-4}=\frac{5}{x}\\\\5(x^2-4)=x(2x+11)\\\\5x^2-20=2x^2+11x\\\\5x^2-2x^2 -11x-20=0


\displaystyle\\3x^2-11x-20=0\\\\x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{11\pm\sqrt{121+4\cdot3\cdot20}}{2\cdot3}=\\\\=\frac{11\pm\sqrt{121+240}}{6}=\frac{11\pm\sqrt{361 }}{6}=\frac{11\pm19}{6}\\\\x_1=\frac{11-19}{6}=\frac{-8}{6}\\\\\boxed{\bf x_1=-\frac{4}{3}}\\\\x_2=\frac{11+19}{6}=\frac{30}{6}\\\\\boxed{\bf x_2=5}




You might be interested in
Please help me I have no clue how to do it.<br><br><br> Thanks,<br><br> Sincerely, Juanito
IrinaK [193]
I think there would be 24 combinations.
5 0
3 years ago
Read 2 more answers
I would appreciate it if someone could help answer this problem:)
DedPeter [7]

Answer:

x=85^{\circ}

Step-by-step explanation:

The sum of the interior angles of any polygon with five sides is equal to (5-2)\cdot 180=3\cdot 180=540^{\circ}. Therefore, we can set up the following equation and solve for x:

115+95+115+130+x=540,\\455+x=540,\\x=\boxed{85^{\circ}}

5 0
3 years ago
What.... I need help...
Keith_Richards [23]

i am unsure of this, but i think it will be D

4 0
3 years ago
Classify the following triangle as acute, obtuse, or right.
liubo4ka [24]

D. None of these.

Equilateral is the only triangle that has all the sides that are equal to each other. Hope this helped you :)

3 0
2 years ago
Read 2 more answers
A small class took a survey of the number of siblings
jek_recluse [69]

Answer:

Line Plot

Step-by-step explanation:

I just toke the assignment! :/

4 0
3 years ago
Read 2 more answers
Other questions:
  • The volume of one section of Tank A is 24 cubic feet. The volume of the other section of Tank A is 96 cubic feet. What is the to
    15·2 answers
  • Find the value of p rounded to the nearest degree
    15·1 answer
  • Helppppppppppppppppppppppppppp
    5·2 answers
  • The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the num
    7·2 answers
  • Find the volume of a cylinder that has a radius of 5 centimeters and a height of 3
    13·1 answer
  • What is the answers for expanded form 72.3 7.023 0.723
    7·1 answer
  • Twin more than 4 times a number is -18
    10·2 answers
  • Sam’s sneaker shop buys sneakers from the manufacturer for $45. Sam adds a 35% markup to the sneakers. Calculate the selling pri
    12·2 answers
  • 2.
    11·1 answer
  • The planetary boundary layer (PBL) is the lowest layer of the troposphere; its characteristics are influenced by contact with th
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!