How this calculation works
Find the real solution of a square root equation with a constant right-hand side.
THE FORMULA
√(ax+b)=c gives x=(c²−b)/a when c≥0A worked example
√(3x+1)=4 implies x=5.
Good to know
The principal real square root is nonnegative.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Find the real solution of a square root equation with a constant right-hand side.
The primary result is labeled “Solution x”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The principal real square root is nonnegative.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
√(3x+1)=4 implies x=5.
Which rule does this calculator apply?
√(ax+b)=c gives x=(c²−b)/a when c≥0