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Solving radical equations

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Now Playing:Solving radical equations – Example 1a
Examples
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  1. Solving Radical Equations Involving One Square Root Term
    Solve:
    1. 3x−2+x=03\sqrt {x - 2} + x = 0
      (hint: no solutions)

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    2. x−2=2x+1x - 2 = 2\sqrt {x + 1}
      (hint: one solutions)

    3. x+2x2−7=3x + \sqrt {2{x^2} - 7} = 3
      (hint: two solutions)

    4. x+9−10=−8\sqrt {x + 9} - 10 = - 8
      (hint: one solutions)

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Square and square roots
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Notes
Radical equations are equations that have variables stunk inside a radical. We will show you how to solve this type of equations in this lesson.
3-step approach for solving radical equations:

1) Isolate the "square root" term.

2) i. Square both sides of the equation to get rid of the "square root".

ii. (optional) If the resulting equation still has a "square root" term, repeat steps 1 and 2.

3) Solve the equation, and REMEMBER to substitute answers back into the original equation to identify any EXTRANEOUS ROOTS,