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Nimfa-mama [501]
2 years ago
15

| x - 1 | = 5x + 10 Check for extraneous solutions.

Mathematics
2 answers:
Ronch [10]2 years ago
8 0
[x-1]=5x+10

We have two equations:
1) x-1=5x+10

x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4

2) x-1=-(5x+10)

x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2

we have two  possible solutions:
solution₁;       x=-11/4
solution₂:       x=-3/2

we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4  - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4  + 10
[-15/4]=(-55+40) /4
15/4≠-15/4   This solution don´t work.

2) x=-3/2
[x-1]=5x+10
[-3/2  - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2  + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.

Therefore:

Answer: x=-3/2.
makvit [3.9K]2 years ago
8 0
Solution #1 x-1=5x+10


x-1=5x+10

x-5x=10+1

-4x=11

x=-11/4

Solution #2 x-1=-(5x+10)


x-1=-(5x+10)

x-1=-5x-10

x+5x=-10+1

6x=-9

x=-9/6=-3/2  

We have two  possible<span> outcomes. </span>
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