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ArTFis

  • 2 years ago

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

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

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

  3. geerky42
    • 2 years ago
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  4. mathstudent55
    • 2 years 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
    • 2 years ago
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    |dw:1360474985945:dw|

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

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

  8. agent0smith
    • 2 years 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
    • 2 years ago
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    Good attitude. That's how you learn. You're welcome.

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