Algebra2

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Making Sure these are right?
absolute value:
1.|7x+2|=10
x=1.1 x=1.7

2.|3x-5|=-1
x=1.3 x=2

• Algebra2 -

1. Eliminate the absoulute value :

7 x + 2 = 10

7 x + 2 = - 10
_________________

7 x + 2 = 10

7 x = 10 - 2 = 8

x = 8 / 7

7 x + 2 = - 10

7 x = - 10 - 2 = - 12

x = - 12 / 7

Solutions x = 8 / 7 aprox. 1.14 and x = - 12 / 7 aprox. - 1.71

2.Eliminate the absoulute value :

Absolute value can't be negative.

No solutions exist.

• Algebra2 -

So if the absolute vale equals a negative number there is no solution?
Such as:
|x^2+2x+1|=-4
So, that has no solution?

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