# Solve by Factoring x=2 square root of x-1

Move to the left side of the equation by subtracting it from both sides.
Subtract from both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Dividing two negative values results in a positive value.
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify.
Apply the product rule to .
Raise to the power of .
Solve for .
Subtract from both sides of the equation.
Multiply through by the least common denominator , then simplify.
Apply the distributive property.
Simplify.
Multiply by .
Cancel the common factor of .
Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Move .
Reorder and .
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
Simplify the numerator.
Raise to the power of .
Multiply by .
Multiply by .
Subtract from .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Multiply by .
Simplify .
Divide by .
The final answer is the combination of both solutions.
Double roots
Double roots
Solve by Factoring x=2 square root of x-1