Equations with Radicals Power Property If P and Q are algebraic expressions, then every solution of the equation P= Q is also a solution of the equation P" = Q", for any positive integer n. %3D Solving an Equation Involving Radicals To solve an equation containing radicals, follow these steps. Step 1 Isolate the radical on one side of the equation. Raise each side of the equation to a power that is the same as the index of the radical so that the radical is eliminated. Step 2 If the equation still contains a radical, repeat Steps 1 and 2. Step 3 Solve the resulting equation. Step 4 Check each proposed solution in the original equation. EXAMPLE 2 Solving an Equation Containing Two Radicals Solve 3x+1- Vx+4 = 1. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 51E
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Ive isolated one of the radicals

Squared 

I'm having trouble combining like terms

Thank you

Equations with Radicals
Power Property
If P and Q are algebraic expressions, then every solution of the equation P= Q is also a
solution of the equation P" = Q", for any positive integer n.
%3D
Solving an Equation Involving Radicals
To solve an equation containing radicals, follow these steps.
Step 1
Isolate the radical on one side of the equation.
Raise each side of the equation to a power that is the same as the index of the
radical so that the radical is eliminated.
Step 2
If the equation still contains a radical, repeat Steps 1 and 2.
Step 3
Solve the resulting equation.
Step 4
Check each proposed solution in the original equation.
EXAMPLE 2 Solving an Equation Containing Two Radicals
Solve 3x+1- Vx+4 = 1.
%3D
Transcribed Image Text:Equations with Radicals Power Property If P and Q are algebraic expressions, then every solution of the equation P= Q is also a solution of the equation P" = Q", for any positive integer n. %3D Solving an Equation Involving Radicals To solve an equation containing radicals, follow these steps. Step 1 Isolate the radical on one side of the equation. Raise each side of the equation to a power that is the same as the index of the radical so that the radical is eliminated. Step 2 If the equation still contains a radical, repeat Steps 1 and 2. Step 3 Solve the resulting equation. Step 4 Check each proposed solution in the original equation. EXAMPLE 2 Solving an Equation Containing Two Radicals Solve 3x+1- Vx+4 = 1. %3D
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