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
Firlakuza [10]
1 year ago
13

Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin

g equation is .
Mathematics
1 answer:
Vesna [10]1 year ago
7 0

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}

\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}

\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}

Multiply both the sides by x.

\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}

Again multiply both the sides by x

2x^{2} -2x-12 = 5x^{2} +18x

\implies 5x^{2} -2x^{2} +18x +2x +12 = 0

\implies 3x^{2} + 18x+2x + 12 = 0

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

Find out more information about equation here:

brainly.com/question/2976807

#SPJ4

You might be interested in
Write 9 is greater than y
Yanka [14]
9>y
Thats it.....
Do you need something else or just that?
6 0
3 years ago
Read 2 more answers
Kyle entered a pie eating contest. He took 1/5 of a minute to eat 1/2 of a pie. How many pies can Kyle eat per minute. Please an
aev [14]

Answer:

I’m not sure.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve:<br> 2(x+2)-5=3(x-1)
sergejj [24]
Answer:
x = 2

Explanation:
2(x+2)-5=3(x-1)
1) Use distributive property (multiply the 2 by x+2 and the 3 by x-1)
2x+4-5=3x-3
2) Combine like terms
2x-1=3x-3
3) Subtract 2x on both sides
-1=x-3
4) Add 3 on both sides
2=x

hope this helps!
7 0
2 years ago
Find the solution to the system of equations by using a graphing calculator. Describe the steps you took to enter the informatio
Luden [163]

Answer:B.

Step-by-step explanation: I took the same class

3 0
3 years ago
Read 2 more answers
Does 2/7 =11/37 because idk
Bad White [126]

Answer:

no. i do not think so.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • How to do this problem
    12·1 answer
  • in a class, 60% of the students are girls. there are 19 girls in the class. how many students are there? how many boys are there
    9·1 answer
  • 17n – 5n2 + 2n3; n = -1<br> I need help plz
    7·2 answers
  • find the sum. write the sum as a mixed number , so the fractional part is less than 1. 4 1/2 + 2 1/2 ?
    6·2 answers
  • Jack and Jill both begin working new jobs for the summer. Jack is offered $18 per hour and will also be given $699 up front for
    11·1 answer
  • Somebody help plz I need help
    6·1 answer
  • I need to find the area. (please help me quick &amp; the answer and explanation plz) POINTS: 15! please give real answers!!!!
    6·2 answers
  • Largest three-digit multiple of 2
    5·2 answers
  • Mike will roll two number cubes labeled 1 through 6. After each roll, he adds the two numbers showing and records the result. He
    12·1 answer
  • The verticies of a triangle are formed by the intersections of 3 lines: y=x x=6 y= -1/3x +4 (graph it please. also it's due in l
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!