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Blondisaurus

  • one year ago

Solve equation (Medal to the person who can draw it out) In comments

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  1. Blondisaurus
    • one year ago
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    \[\sqrt{2x}-4=\sqrt{7x}+9 \]

  2. mathstudent55
    • one year ago
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    Move the roots to one side and the numbers to the other side. Square both sides and simplify. Move the root to one side alone, and everything else to the other side. Square both sides and simplify again. When you find a solution for x, check it in the original equation because squaring both sides of an equation can introduce extraneous solutions. Extraneous solutions are solutions to the squared equation that are not solutions to the original equation.

  3. Blondisaurus
    • one year ago
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    I keep getting messed up answers. Either with negatives or decimals

  4. mathstudent55
    • one year ago
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    We can do it together step by step if you'd like.

  5. mathstudent55
    • one year ago
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    |dw:1434645515589:dw|

  6. mathstudent55
    • one year ago
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    |dw:1434645560818:dw| Do you follow so far?

  7. MrNood
    • one year ago
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    according to graphing calc these do not have a real solution

  8. mathstudent55
    • one year ago
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    |dw:1434645807122:dw|

  9. mathstudent55
    • one year ago
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    |dw:1434645882871:dw|

  10. mathstudent55
    • one year ago
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    Ok. It turns out that by squaring only once, we got rid of the square root of the variable. Now we need to check the solution in the original equation.

  11. anonymous
    • one year ago
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    |dw:1434646453949:dw|

  12. MrNood
    • one year ago
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    |dw:1434646063419:dw| therefore no real root

  13. mathstudent55
    • one year ago
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    |dw:1434646456165:dw|

  14. mathstudent55
    • one year ago
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    |dw:1434646532155:dw|

  15. mathstudent55
    • one year ago
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    The solution does not work.

  16. MrNood
    • one year ago
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    |dw:1434656606947:dw| These are the 2 graphs they do not intersect

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