Mathematics
Radical Equations
A radical equation includes variables within a root, often √x or higher. Solving is key when dealing with physics problems or real-world measurements. ScanSolve breaks down the steps to simplify and resolve these equations quickly.
How to Approach Radical Equations
Input the equation
Type or upload your radical equation (e.g., √(2x + 3) = 5) to begin the solution process.
Isolate the radical
We explain how to move all radical terms to one side, simplifying the equation (e.g., √(2x + 3) = 5).
Solve and verify results
Eliminate the radical by squaring both sides, solve the resulting equation, and check for extraneous solutions.
Frequently Asked Questions
Do I need to square both sides?+
Yes, squaring both sides removes the radical, allowing you to solve the linear or quadratic equation that follows.
What are extraneous solutions?+
Extraneous solutions are false solutions introduced when squaring both sides. Always substitute back into the original equation to check.
Can radicals have complex roots?+
Yes, if the equation is set to equal a negative value inside an even root, complex solutions arise, requiring imaginary numbers.
Stuck on a Radical Equations problem?
Snap a photo or type the question. ScanSolve walks you through every step — same as the worked examples above. 5 free solves per day, no card required.