Step-by-step Solution

Solve the equation with radicals $\sqrt{2x+1}=x-1$

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Step-by-step explanation

Problem to solve:

$\sqrt{2x+1}=x-1$

Learn how to solve equations with square roots problems step by step online.

$2x+1=\left(x-1\right)^{2}$

Unlock this full step-by-step solution!

Learn how to solve equations with square roots problems step by step online. Solve the equation with radicals (2x+1)^0.5=x-1. Removing the variable's exponent. Expand \left(x-1\right)^{2}. Grouping terms. Solve the product -\left(x^2-2x+1\right).

Final Answer

$x=0,\:x=4$

Problem Analysis