|4x+3|−7=0|4x+3|−7=0 Using the definition of absolute values, convert the standard form

deiteresfp

deiteresfp

Answered question

2021-12-07

|4x+3|−7=0|4x+3|−7=0
Using the definition of absolute values, convert the standard form of the given equation into two equations without absolute value signs.

Answer & Explanation

Barbara Meeker

Barbara Meeker

Beginner2021-12-08Added 38 answers

Step 1
Answer is
4x+3=7 & 4x+3=-7
x=1 & x=2.5
Explanation is given below
Step 2
Absolute value
|x|={x if x0x if x<0
In our case
|4x+3|-7=0
|4x+3|=7
if (4x+3)0 if 4x+3 < 0
4x+3=7 -(4x+3)=7
4x+3=7
4x+3=-7 (Answer)

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