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
Does the table represent exponential growth or exponential decay?
Vitek1552 [10]

Answer:

Step-by-step explanation:

y=ar^x

(ar^5)/(ar^3)=72/432

r^2=1/6

Since r^2 < 1

This is exponential decay.

4 0
3 years ago
Plz help! It's probability, I will mark brainliest to whoever is correct.
bearhunter [10]

Answer:

1/10

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which is the completely factored form of 4x3 10x2 – 6x? 2(x 3)(2x – 1) 2x(x 3)(2x – 1) 2x(x – 3)(2x – 1) 2(x – 3)(2x 1).
Natalija [7]

The equation 4x^3+10x^2 – 6x is factorized as 2x(x+3)(2x – 1).

Option B represents the correct factors of the equation.

<h3>What is a Factor of the number?</h3>

A factor of the number can be defined as a divisor of the number that divides it completely without leaving any remainder.

Given equation is 4x^3+10x^2 – 6x. This can be factorized as given below.

4x^3+10x^2-6x = 0

We take the common term 2x, then,

2x ( 2x^2 + 5x -3)=0

2x ( 2x^2 +6x -x -3)=0

2x (2x (x+3) -1(x+3))=0

2x (2x-1)(x+3)=0

Hence we can conclude that the factors of the given equation are 2x(x+3)(2x – 1). Option B shows the correct factors.

To know more about the factors, follow the link given below.

brainly.com/question/3423184.

6 0
3 years ago
Which expression is equivalent to
padilas [110]

Answer:

the expression is equivalent to A) a^2/b

3 0
3 years ago
Read 2 more answers
Yapın.............. Bir sürpriz.. yardımcı olur musunuz ​
borishaifa [10]

Answer:

parmak izlerimiz birbirinden farklıdır.

bireysel farklılıklara saygı duyulması insanlar birbirlerini asalanaya başlar ülkede iç savaş çıkabilir mesela

3 0
3 years ago
Other questions:
  • a dragonfly can beat its wings 30 times for second write an equation in slope intercept form that shows the relationship between
    7·1 answer
  • How do you do this <br>.
    6·1 answer
  • PLEASE HELP due in 20 min!!!
    13·1 answer
  • Solve the equation. 3y 20=3 2y
    12·2 answers
  • (2x+1)/2=(x+2)/5<br><br>if possible can you show me step by step how to get the answer <br>​
    10·1 answer
  • Helpppppppppppppppppppppppppppppppppppppppppp please
    8·1 answer
  • Is x = 30 a solution for 120 = 4x <br> please show your work like this:<br> m−9+9=11+9<br><br> m=20
    11·2 answers
  • What is the value of 7643 +6437 +4376 +3764?​
    10·1 answer
  • Write an equation of the line that passes through (3, 4) and is perpendicular to the line
    6·2 answers
  • Which graph represents the function f(x) = - |x - 2| - 1?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!