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ArTFis

  • one year ago

How do you solve for x? square root of 3x + 11 = square root of 6x + 3

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  1. ArTFis
    • one year ago
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    \[\sqrt{3x+11} = \sqrt{6x+3}\]

  2. mathstudent55
    • one year ago
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    Square both sides to get rid of square roots.

  3. geerky42
    • one year ago
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  4. mathstudent55
    • one year ago
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    Then solve like you'd solve a regular equation. Finally, you must check all answers because squaring equations may introduce extraneous solutions.

  5. mathstudent55
    • one year ago
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    |dw:1360474985945:dw|

  6. mathstudent55
    • one year ago
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    |dw:1360475018083:dw| Now check the solution in the original equation.

  7. ArTFis
    • one year ago
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    I understand. Thank you sir. I'll keep in mind to study and further learn this.

  8. agent0smith
    • one year ago
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    "you must check all answers because squaring equations may introduce extraneous solutions." particularly important... and it's good to check your work in this manner, even when extraneous solutions aren't possible.

  9. mathstudent55
    • one year ago
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    Good attitude. That's how you learn. You're welcome.

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