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babunello [35]
2 years ago
8

How do we check if a solution is extraneous? Use these equations as examples to help you explain:

Mathematics
1 answer:
Maurinko [17]2 years ago
5 0
Multiplying both sides of a rational equation by a variable expression introduces the possibility of extraneous solutions. Therefore, we must check the solutions against the set of restrictions. If a solution is a restriction, then it is not part of the domain and is extraneous.
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The sum of the reciprocals of two consecutive odd integers is 24/143. find the two integers.
nordsb [41]
Let one integer be x, the consecutive odd integer is x+2
reciprocals are 1/x and 1/(x+2)
1/x +1/(x+2)=24/143
make the denominators the same:
(x+2)/[x(x+2)] +x/[x(x+2)]=24/143
143(2x+2)=24(x)(x+2)
286x+286=24x²+48x
24x²-238x-286=0
use the quadratic formula: x=22 this doesn't work because 22 is not an odd number.
or x=-2.1666666666 (this is not an integer)

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4 0
3 years ago
The percentage difference from 239,900 to 251,895
Katarina [22]

Answer:

4.87805%

Step-by-step explanation:

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4 0
2 years ago
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The length of the base of an isosceles triangle is x. The length of a leg is 4x-6. The perimeter of the triangle is 60. Find x.
lbvjy [14]

Answer:

Perimeter of a triangle = add all sides

Both the legs of the isosceles triangle are always EQUAL.

x+4x-6+4x-6 = 60

9x-12 = 60

9x = 60+12

9x = 72

x = 8

3 0
2 years ago
Can some one help me plss
Thepotemich [5.8K]

Irrational

Irrational

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Sorry if anything is wrong, I went off of memory! :)

6 0
3 years ago
Order these numbers from least to greatest.<br> 5.7082, 5.09, 5.009, 5.7
matrenka [14]

Answer:

5.7082,5.009,5.09,5.7

Step-by-step explanation:

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3 years ago
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