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
elixir [45]
3 years ago
10

Solve the following rational equation plz help!!

Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Answer:

x = \frac{9}{4}

Step-by-step explanation:

Given

\frac{4x}{x+1} - \frac{5}{x} = \frac{4}{x^2+x} ← factor denominator

\frac{4x}{x+1} - \frac{5}{x} = \frac{4}{x(x+1)}

[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]

Multiply through by x(x + 1)

4x² - 5(x + 1) = 4

4x² - 5x - 4 = 4 ( subtract 4 from both sides )

4x² - 5x - 9 = 0 ← in standard form

(x + 1)(4x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

4x - 9 = 0 ⇒ 4x = 9 ⇒ x = \frac{9}{4}

However, x ≠ - 1 for reason given above, then

solution is x = \frac{9}{4}

You might be interested in
 If the function G(x) = (x - 8)2 + 6 has the same shape as F(x) = x2 + 6, how far to the right of F(x) is G(x) shifted?
nikitadnepr [17]
G(x) = (x - 8)^2 + 6\ \ \ and\ \ \ F(x) = x^2 + 6\\\\Ans.\ G(x)\ is\ shifted\ 8\ units\ right\ to\ the\ F(x)
8 0
3 years ago
Find the circumference of a circle with a radius of 2 inches. Give an exact answer.
pychu [463]

Answer:C=2πr=2·π·2≈12.56637in

Step-by-step explanation:

4 0
3 years ago
Which expression represents the distance between the points (a, 0) and (0, 5) on a coordinate grid?
Mashcka [7]
 \displaystyle d= \sqrt{(x_1-x_0)^2+(y_1-y_0)^2} - d is distance, (x_1,y_1) and (x_0,y_0) two points on a coordinate grid.

In our case :
(x_1,y_1)=(a,0)\\(x_0,y_0)=(0,5)

d= \sqrt{(a-0)^2+(0-5)^2} = \sqrt{a^2+25}
6 0
3 years ago
Read 2 more answers
Can someone help me with this guys? Thank you so much! I mark as brainliest
Vitek1552 [10]

Answer:

y=45

x=9

z= 9 root 2

Step-by-step explanation:

This is a right isosceles triangle, so

y=45

x=9

z= 9 root 2

9²+9²=z²

81+81=z²

162=z²

√162=z

z=9√2

5 0
2 years ago
A line passes through (−2, 5) and has slope 13 . What is an equation of the line in point-slope form
ruslelena [56]
Y - y1 = m(x - x1)
slope(m) = 13
(-2,5)...x1 = -2 and y1 = 5
sub...pay attention to ur signs
y - 5 = 13(x - (-2)...not done yet
y - 5 = 13(x + 2) <== point slope form
3 0
3 years ago
Other questions:
  • Blank plus 2/3 equals 11/12
    15·1 answer
  • Whitch equation is equivalent to -3x+y=5<br><br> y=5 - 3x<br><br> y=5+3x<br><br> y=-3x-5<br> y=3x+5
    5·1 answer
  • Question 8 please answer ​
    6·2 answers
  • 6*10^-2 is how many times as 2•10-8
    7·1 answer
  • Number 24 I am stuck. Please help
    13·1 answer
  • Find the area of the circle. Approximate to 2 decimal places and use 3.14 for π.
    14·1 answer
  • A Ferris wheel holds up 48 people there are 823 people with tickets to ride the Ferris how many times will the Ferris wheel need
    12·2 answers
  • Jillian wants to find the surface area of a pyramid the base is a square with sides that are 4 inches long the other faces are i
    8·2 answers
  • Harry can read 40 pages in 25 minutes. How many pages can he read in 11/2 hours?
    8·2 answers
  • PLZ ANSWER FAST!!!! THE FIRST ANSWE GETS BRAINLIEST
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!