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We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $-\sqrt{x-1}$ from both sides of the equation
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$\sqrt{3x+1}=2-\left(-1\right)\sqrt{x-1}$
Learn how to solve problems step by step online. Solve the equation with radicals (3x+1)^1/2-(x-1)^1/2=2. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -\sqrt{x-1} from both sides of the equation. Multiply -1 times -1. Removing the variable's exponent raising both sides of the equation to the power of 2. Expand \left(2+\sqrt{x-1}\right)^{2}.