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

Math
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.
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Divide each term in by .
Cancel the common factor of .
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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.
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Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify.
Apply the product rule to .
Raise to the power of .
Solve for .
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Subtract from both sides of the equation.
Multiply through by the least common denominator , then simplify.
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Apply the distributive property.
Simplify.
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Multiply by .
Cancel the common factor of .
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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.
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Simplify the numerator.
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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

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