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dybincka [34]
3 years ago
5

What is the extraneous solution?

Mathematics
1 answer:
8_murik_8 [283]3 years ago
8 0
<h3>Answer:</h3>

  x = 1

<h3>Step-by-step explanation:</h3>

<em>The only solution is an extraneous solution</em>, which is to say the equation has no solution.

The rational expression reduces to -1 (for x≠1), which makes the equation ...

  1 = 1/x

The only solution to this is x=1, which is specifically disallowed.

___

If you subtract the right side, the equation becomes ...

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

  (-x^2 +x +2x^2 -2x -x +1)/(x -1) = 0 . . . . eliminate parentheses in the numerator

  (x^2 -2x +1)/(x -1) = 0 . . . . . . . . . . . . . . . collect terms

  (x -1)^2/(x -1) = 0 . . . . . . . . . . . . . . . . . . . factor

This is undefined for the only value of x that could possibly be a solution, x=1.

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U
katen-ka-za [31]

Answer:

x = 4/7

y = 60/7

Step-by-step explanation:

3x + 4y = 36

y = x + 8

Substitute the second equation into the first since it already has the y isolated for you:

3x + 4(x + 8) = 36

3x + 4x + 32 = 36

7x = 4

x = 4/7

Take the answer you got from the equation above and plug that into the second equation:

y = 4/7 + 8

y = 60/7

To check just LS/RS both equations:

3(4/7) + 4(60/7) = 36

12/7 = 240/7 = 36

252/7 = 36

36 = 36

LS = RS

60/7 = 4/7 + 8

60/7 = 60/7

LS = RS

8 0
3 years ago
What is the distance between A(-8, 4) and B(4, -1)?
Anettt [7]

Answer:

The distance between A(-8, 4) and B(4, -1) is 13 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula given by:

\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

We have the two points A(-8, 4) and B(4, -1). Let A(-8, 4) be (<em>x₁, y₁</em>) and let B(4, -1) be (<em>x₂, y₂</em>). Substitute:

d=\sqrt{(4-(-8))^2+(-1-4)^2}

Evaluate:

d=\sqrt{(12)^2+(-5)^2}

So:

d=\sqrt{144+25}=\sqrt{169}=13\text{ units}

The distance between A(-8, 4) and B(4, -1) is 13 units.

7 0
3 years ago
Read 2 more answers
11/12 / 2 5/8dividing fractions!!
andrew-mc [135]
(11/12) / (2 5/8) = ...turn mixed numbers to improper fractions
(11/12) / (21/8) = ...when dividing fractions, flip what u r dividing by, then multiply
11/12 * 8/21 = 88/252 reduces to 22/63

3 0
3 years ago
How many solutions does each equation have
notka56 [123]

Answer:

sex kaise kare aur bata ky chal raha tha aur bata ky chal raha h

7 0
3 years ago
Read 2 more answers
Please!!! I NEED help with this!!!! it's due in an hour and I have no idea how to do it!!!
sergejj [24]

Answer:

Well you can try to use a calculator, like the one on google. I can try to help if you really need it.

Step-by-step explanation:


3 0
3 years ago
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