Radical Equations Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

medium
Solve 3x−2=4\sqrt{3x - 2} = 4.

Solution

  1. 1
    Square: 3x−2=163x - 2 = 16, so 3x=183x = 18, x=6x = 6.
  2. 2
    Check: 18−2=16=4\sqrt{18 - 2} = \sqrt{16} = 4 ✓

Answer

x=6x = 6
After squaring, the resulting linear equation is straightforward to solve. The check step confirms x=6x = 6 is valid and not extraneous.

About Radical Equations

Equations with a variable under a radical sign, solved by isolating the radical, squaring both sides, and checking for extraneous solutions.

Learn more about Radical Equations →

More Radical Equations Examples

Example 1 easy

Solve [formula].

Example 2 hard

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Example 3 easy

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