Radical Equation Solver
Easily solve equations containing square roots, cube roots, and other radicals. Just enter your equation and get instant solutions.
Enter your equation using √ for square root. For example: √(2x-1) = √(x+4).
Visualization
While direct visualization of radical equation solving is complex, this tool uses symbolic manipulation to find solutions. Further visualization features may be added in future updates.
Understanding Radical Equations
Radical equations are equations where the variable is under a radical symbol, most commonly a square root (√). These equations appear in various fields of mathematics and physics.
Examples:
- √(x + 1) = 5
- √(2x - 3) = √x
- √(x) + 2 = x
Solving Radical Equations:
To solve a radical equation, the goal is to isolate the radical on one side of the equation and then eliminate it by raising both sides to the power of the index of the radical (e.g., square both sides for a square root). It's important to check solutions as extraneous solutions can arise.
Formula:
For a simple radical equation like √(x) = a, the solution is found by squaring both sides: x = a².
Learn more about radical equations on resources like Khan Academy and Wolfram MathWorld.