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Math Help - Lost on this equation

  1. #1
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    Lost on this equation

    I am trying to figure out the steps to solve this equation:

    (t-5)^2=2t^2-7t-3

    I dont even know how to start this.
    And I cant seem to find an example in the book.

    Thanks,
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by GeinoD View Post
    I am trying to figure out the steps to solve this equation:

    (t-5)^2=2t^2-7t-3

    I dont even know how to start this.
    And I cant seem to find an example in the book.

    Thanks,
    1. Expand the LHS
    2. Collect all terms at the LHS
    3. Solve the quadratic equation for t using the quadratic formula.
    4. I've got: x = -\frac32 \pm \frac12 \cdot \sqrt{121}

    EDIT: Found my mistake!
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  3. #3
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
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    Quote Originally Posted by GeinoD View Post
    I am trying to figure out the steps to solve this equation:

    (t-5)^2=2t^2-7t-3

    I dont even know how to start this.
    And I cant seem to find an example in the book.

    Thanks,
    Try expanding the left hand side

    (t-5)^2=2t^2-7t-3 \iff t^2-10t+25=2t^2-7t-3<br />

    Now collect all of you like terms.

    0=t^2+3t-28

    You should be able to finish from here
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