Absolute Value Calculator
Compute |x| and solve equations of the form |ax+b|=c.
Input Data
X
A
B
C
Results
Result
7
Solution
0
Note
x = 4 或 -1
At a glance:Absolute value |x|: x when x≥0, −x when x<0. Equation |ax+b|=c: when c≥0, split into ax+b=c and ax+b=−c, giving x=(c−b)/a and x=(−c−b)/a (a≠0); no solution when c<0. Complements linear-equation (no absolute value).
Formula
|x| = x (x≥0) or −x (x<0).
|ax+b|=c → x=(c−b)/a, x=(−c−b)/a (c≥0).
How to Use
- Enter x to find |x|.
- Enter a, b, c to solve |ax+b|=c.
Case Studies
|2x−3|=5 → x=4 or x=−1
2x−3=5 → x=4; 2x−3=−5 → x=−1.
FAQ
c<0?
Absolute value is non-negative, so no solution.
a=0?
Becomes |b|=c; decide unique or no solution from b and c.
Applications?
Distance, error bounds, tolerance bands.
Precision?
Shown to 4 decimal places.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.