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What is the other solution to the equation (Algebra ll) *URGENT*

What is the other solution to the equation (Algebra ll) *URGENT*-example-1
User Rtyshyk
by
7.9k points

1 Answer

3 votes

Given:

The equation is:


3-2|0.5x+1.5|=2

One solution of this equation is -2.

To find:

The another solution of the given equation.

Solution:

We have,


3-2|0.5x+1.5|=2

It can be written as:


-2|0.5x+1.5|=2-3


-2|0.5x+1.5|=-1

Divide both sides by -2.


|0.5x+1.5|=0.5

After removing the modulus, we get


0.5x+1.5=\pm 0.5

Case I:


0.5x+1.5=0.5


0.5x=0.5-1.5


0.5x=-1

Divide both sides by 0.5.


x=-2

Case II:


0.5x+1.5=-0.5


0.5x=-0.5-1.5


0.5x=-2

Divide both sides by 0.5.


x=-4

One solution of the given equation is
x=-2 and the another one is
x=-4.

Therefore, the correct option is B.

User Yamcha
by
8.3k points

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