# Solve for x square root of x plus four plus square root of x minus one equals five

Subtract from both sides of the equation.

To reduce the radical in the left part of the equation, square both sides of the equation.

First, multiply the exponents in .

Apply the power rule when multiplying the exponents, .

The common factor should be canceled of .

Cancel the common factor.

Reformulate the expression.

Simplify.

Clarify .

Should be rewritten as .

Expand using the FOIL Method.

Use the distributive law.

Apply the distributive property.

Apply the distributive property.

Clarify and Add like terms.

Clarify each term.

Multiply by .

Multiply by .

Multiply by .

Multiply .

Multiply by .

Multiply by .

Raise to the power of .

Raise to the power of .

Use the power rule to Add exponents.

Add and .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

The common factor should be canceled.

Cancel the common factor.

First, divide by .

Simplify.

Subtract from .

Subtract from .

Since the radical is on the right side of the equation, switch the sides so it is on the left side of the equation.

Move all terms not containing to the right side of the equation.

Subtract from both sides of the equation.

Subtract from both sides of the equation.

Combine the opposite terms in .

Subtract from .

Sum and .

Subtract from .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

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.

Raise to the power of .

Move all terms not containing to the right side of the equation.

Add to both sides of the equation.

Add and .

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