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Absolute Value Equation Solver — result sheet
Solves |ax + b| = c by splitting into the positive and negative cases.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: |ax + b| = c gives ax + b = c or ax + b = -c.
Split the absolute value into its two linear cases and solve each. A zero c yields one solution; a negative c has no solution.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Coefficient a — Must be nonzero.; minimum -1000000000; maximum 1000000000
- Constant b — minimum -1000000000; maximum 1000000000
- Constant c — Must be >= 0; negatives have no solution.; minimum -1000000000; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Coefficient a | 2 |
| Constant b | -6 |
| Constant c | 4 |
Solutions x = 5, x = 1.
Assumptions and limits
- a is nonzero, so each case is a linear equation.
- Real solutions only; c must be nonnegative.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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