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
Nonamiya [84]
2 years ago
9

Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

ated by commas.
Mathematics
2 answers:
Deffense [45]2 years ago
6 0

Answer:

\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}

Step-by-step explanation:

Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}

\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16

\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i

stellarik [79]2 years ago
6 0

\frac{c}{c - 5}  =  \frac{4}{c - 4}

(c - 5)(c - 4) \times \frac{c}{c - 5} =  \frac{4}{c - 4}   \times (c - 5)(c - 4)

(c - 4) \times c = 4(c - 5)

With c≠4, 5

{c}^{2}  - 4c = 4c - 20

{c}^{2}  - 8c + 20 = 0

c =  \frac{2 - + \sqrt{2 - 20} }{2}

But 2-20 is negative, therefore there isn't any real solution to this equation.

You might be interested in
Factor 5(2x+7)+4(2x+7)<br>enter your answer in the box​
AfilCa [17]

Answer:

18x+63

Step-by-step explanation:

First you've to simplfy it, multiply the first bracket by 5 and the second by 4.

= (5)(2x)+(5)(7) + (4)(2x)+(4)(7)

= 10x+35+8x+28

Combine Like Terms:

= 10x+35+8x+28

= (10x+8x)+(35+28)

= 18x+63

6 0
2 years ago
Read 2 more answers
A bag contains 3 red marbles, 5 green marbles and 7 blue marbles. If Janelle picks one marble out of the bag, what is the probab
lisabon 2012 [21]

3+5+7 = 15 total marbles

3 are red

 so she has a 3/15 reduces to 1/5 probability of picking a red one

8 0
3 years ago
What is 35 percent of 85??
oee [108]
35 percent of 85=29.75
5 0
3 years ago
Add fractions with unlike denominators
stealth61 [152]

Answer:

1 5/12  i think im sorry if i get it wrong.

Step-by-step explanation:

5 0
3 years ago
sorry again for asking this but can someone explain this and give me the answer. Been having a hard time learning this.
Rudik [331]

<em>Hey</em><em>!</em><em>!</em><em>!</em>

<em>In</em><em> </em><em>ques</em><em>tion</em><em> </em><em>no</em><em>.</em><em>4</em><em>,</em><em> </em><em>we</em><em> </em><em>have</em><em> </em><em>to </em><em><u>subtract</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>equation</u></em><em><u>.</u></em>

<em>In</em><em> </em><em>ques</em><em>tion</em><em> </em><em>no</em><em>.</em><em>5</em><em> </em><em>we</em><em> </em><em>have</em><em> </em><em>to</em><em><u> </u></em><em><u>add</u></em><em><u> </u></em><em><u>the </u></em><em><u>equation</u></em><em><u>.</u></em>

<em>Hope </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em><em>.</em><em>.</em><em>.</em>

<h3><em><u>Have</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>great</u></em><em><u> </u></em><em><u>day</u></em></h3>
3 0
2 years ago
Other questions:
  • PLEASE HELP ME. I NEED A LOT OF HELP​
    14·1 answer
  • A store sells 5-gallon bottles of water for $8.00. The store made $288.00 on Monday selling the water. How many bottles were sol
    9·1 answer
  • 3 limes weigh 4.28 ounces, 4.82 ounces and 2.85. whats the weight difference
    13·1 answer
  • There are 36 people in a fitness studio . 3/8 of the people lifted weights , 1/3 of the people did cross training , and the rema
    7·1 answer
  • If a student receives 86 text messages during this class, how many text messages did he or she receive per minute?
    7·1 answer
  • How to multiply to the n<br>earest ten
    5·1 answer
  • What is the next term of the following geometric sequence:
    11·1 answer
  • Evaluate the expression when a = 3, b = 2, and c= -3: (a³ + 2bc)/( c² -5)
    14·1 answer
  • Writing during a thurdestorm yesterday. 600 millimeters of rain fell in 30 minutes ?
    9·1 answer
  • Raymond’s Bake Shop sold 26/1/2 dozen cupcakes on Saturday. On Friday,
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!