Solve absolute value equation or indicate the equation has no

Jason Yuhas 2021-12-19 Answered
Solve absolute value equation or indicate the equation has no solution.
|x+1|=5
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Expert Answer

Mary Goodson
Answered 2021-12-20 Author has 37 answers
Step 1
To solve the equation: |x+1|=5
Solution:
We know, if
|x|=a,x=±a
|x+1|=5
x+1=±5
x+1=5, or ,x+1=5
x=51, or ,x=51
x=4, or ,x=6
hence, required solutions are:
x={4,-6}
Step 2
Result:
Solutions are: x={4, -6}.
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zurilomk4
Answered 2021-12-21 Author has 35 answers
Calculation
The equation is |x+1|=5.
Open the modulus and solve.
x+1=±5
Take the positive value.
x+1=5
x+1-1=5-1 (Subtract 1 from both sides)
x=4
Take the negative value.
x+1=-5
x+1-1=-5-1 (Subtract 1 from both sides)
x=-6
Result
Thus, the values of x are {-6,4}.
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