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
a_sh-v [17]
3 years ago
12

Solve the rational equation x divided by 4 equals x squared divided by quantity x plus 2 end quantity, and check for extraneous

solutions.
Mathematics
2 answers:
____ [38]3 years ago
5 0

Answer:

x = 0, x = 2/3

Step-by-step explanation:

x / 4 = x² / (x + 2)

x = 4x² / (x + 2)

x * (x + 2) = 4x²

x² + 2x = 4x²

3x² - 2x = 0

x(3x - 2) = 0

x = 0, x = 2/3

Norma-Jean [14]3 years ago
5 0

Answer:

x=0, 2/3

Step-by-step explanation:

x/4 = x^2 /(x+2)

Using cross products

4x^2 = x(x+2)

Distribute

4x^2 = x^2 +2x

Subtract x^2 from each side

3x^2 = 2x

Subtract 2x from each side

3x^2 -2x =0

Factor out x

x(3x-2) =0

Using the zero product property

x=0   3x-2 =0

x=0   3x=2

x=0   x= 2/3

Check

x=0

0/4 = 0^2 /(0+2)

0 = 0

Check

x=2/3

(2/3)/4 = (2/3)^2 /((2/3)+2)

1/6 = (4/9)/ (8/3)

1/6 = 4/9 * 3/8

1/6 = 4/8 *3/9

1/6 = 1/6

Both solutions are valid

You might be interested in
-3x-y=9
Lina20 [59]

Answer:

D: no solution

...because none of the answers work for both of the equations when you plug in the x and y values

4 0
3 years ago
Anyone have an idea?
Phantasy [73]

Answer:

yes I have an idea jnhvhbvcf

7 0
3 years ago
Read 2 more answers
Helpppppppppppppppppppppppp
S_A_V [24]

Answer:

It is, D

Step-by-step explanation:

Your welcome for raising your test score

5 0
2 years ago
Read 2 more answers
Calculate the compound amount on rs 2000 for 3 years at the rate of 13% p.a
IrinaVladis [17]
A=P(1+r%)ⁿ , where P is the initial capital, r, the interest rate and n, the # years

A = 2000(1+0.13)³
A = 2000(1.13)³
A = 2,885.79
6 0
3 years ago
12.
harina [27]

Answer:

h = 5.705m

Step-by-step explanation:

Volume of a cylinder

V = πr^2h

V - volume of the cylinder

π - pie

r - radius of the cylinder

h - height of the cylinder

Given :

V = 363 cubic meters

d = 9m

h = ?m

d = 2r

d - diameter

r - radius

r = d/2

r = 9/2

π- 3.142

Insert the values into the formula of volume of cylinder

V = πr^2h

363 = 3.142 * (9/2)^2 * h

363 = 3.142 * 81/4 * h

363 = 63.6255h

Divide both sides by 63.6255 to get the value of h

363/63.6255 = 63.6255h/63.6255

5.705 = h

h = 5.705m

8 0
3 years ago
Other questions:
  • Given: m VKP =148° Find: m∠JPV
    14·1 answer
  • What is the average rate of change between:
    9·1 answer
  • How do I know if a table is proportional
    7·1 answer
  • Look at the two sums shaded in the additon table .why are the sums the same?
    14·1 answer
  • Which best describes the figure that is represented by the following coordinates?
    15·2 answers
  • 40 POINTS !! 40 POINTS !!<br><br> PLEASE HELP , DONT SKIP !<br><br> NO LINKS OR FILES.
    5·2 answers
  • The afternoon high temperature was 88°F. By midnight, the temperature 1 point
    13·2 answers
  • 1/4y =6
    13·1 answer
  • BRAINLIEST Please help i'd appreciate it thanks, Have a nice day :)
    15·1 answer
  • For what value of x is the expression –4x – 8 equivalent to –9x –1?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!