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Nimfa-mama [501]
3 years ago
15

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

Mathematics
2 answers:
Ronch [10]3 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]3 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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Step-by-step explanation:

To find the degree of the multivariate polynomials, we need to add up the powers of all the variables.   So the total degree is given by the sum of all the powers of the highest powers terms.

Now in the given polynomial -3w+x^6y^5-2+5y^4w^3x^2

the term with the highest total powers is x^6y^5 and thus the total power is 6+5=11.

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Step-by-step explanation:

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Read 2 more answers
A(x+1)(x-1)+b(x-2)(x+1)+(x+1)^2=9x-x-10 What is a+b?
igor_vitrenko [27]

a(x+1)(x-1)+b(x-2)(x+1)+(x+1)^2=9x^2-x-10

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a(x-1)+b(x-2)+x+1=9x-10

Now this equation is much simpler!

(a+b)x-a-2b+x+1=9x-10

(a+b)x-a-2b=8x-11

(a+b-8)x-a-2b-11=0

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I can't solve it 3 variables and 1 equations means infinite answers so yea.

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