Download Solving Radical Equations

Solving Radical Equations 1
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A "radical" equation is an equation in which there is a variable inside the radical sign.
x 26
x 4
1)
Here are four steps to solve equations with radicals
Step 1: Isolate the radicals to left side of the equal sign.
Step 2: Square each side of the equation
(If the radical is not a square root, raise each
side to a power equal to the index of the root.)
Step 3: Solve the resulting equation
Step 4: Check all solutions
 x
2
2)
x 1  2
2
3
4x  9  5
4
 16
4)
16  2  6
4  2  6 CHECK
x2 3
3
2
3) x
Solve these equations. Be sure to check for extraneous solutions!
1
 4 
x  8
5
3 x 9  3
6
2x  1  5
7
7  3 2 x  1  10
8
2x  1  7  4