Algebra

A monic quadratic is a quadratic in which the coefficient of the quadratic term is 1. For example, r^2 - 3r + 7 is a monic quadratic, but 3t^2 - 3t + 1 is not.

A teacher writes a monic quadratic on the board.

Joanie copies the quadratic onto her paper, but writes down the wrong constant term (but the correct quadratic and linear terms). She correctly factors the quadratic that she wrote down on her paper, and determines that her quadratic has roots -16 and 2.

Kelvin is factoring the same quadratic that the teacher wrote on the board. He also copies the quadratic onto his paper, but he writes down the wrong coefficient for the linear term (but the correct quadratic and constant terms). He correctly factors the quadratic that he wrote down, and determines that his quadratic has roots -36 and 2.

What are the roots of the quadratic that the teacher wrote on the board? (Write your answers in increasing order, separated by commas.)

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asked by XXX
  1. Joanie's equation is
    (x+16)(x-2) = 0
    x^2 + 14x - 32 = 0 , in hers the -32 is wrong, the 14x is correct

    Kelvin's equation is
    (x+36)(x-2) = 0
    x^2 + 34x - 64 = 0
    for his, the 34x is wrong , but the -64 is right

    the teacher's equation is
    x^2 + 14x - 64 = 0

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    posted by Reiny
  2. it is wrong!

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    posted by XXX
  3. A monic quadratic is a quadratic in which the coefficient of the quadratic term is 1. For example, r^2 - 3r + 7 is a monic quadratic, but 3t^2 - 3t + 1 is not.

    A teacher writes a monic quadratic on the board.

    Joanie copies the quadratic onto her paper, but writes down the wrong constant term (but the correct quadratic and linear terms). She correctly factors the quadratic that she wrote down on her paper, and determines that her quadratic has roots -16 and 2.

    Kelvin is factoring the same quadratic that the teacher wrote on the board. He also copies the quadratic onto his paper, but he writes down the wrong coefficient for the linear term (but the correct quadratic and constant terms). He correctly factors the quadratic that he wrote down, and determines that his quadratic has roots -36 and 2.

    What are the roots of the quadratic that the teacher wrote on the board? (Write your answers in increasing order, separated by commas.)

    1. 👍 0
    2. 👎 0
    posted by XXX
  4. A monic quadratic is a quadratic in which the coefficient of the quadratic term is 1. For example, r^2 - 3r + 7 is a monic quadratic, but 3t^2 - 3t + 1 is not.

    A teacher writes a monic quadratic on the board.

    Joanie copies the quadratic onto her paper, but writes down the wrong constant term (but the correct quadratic and linear terms). She correctly factors the quadratic that she wrote down on her paper, and determines that her quadratic has roots -16 and 2.

    Kelvin is factoring the same quadratic that the teacher wrote on the board. He also copies the quadratic onto his paper, but he writes down the wrong coefficient for the linear term (but the correct quadratic and constant terms). He correctly factors the quadratic that he wrote down, and determines that his quadratic has roots -36 and 2.

    What are the roots of the quadratic that the teacher wrote on the board? (Write your answers in increasing order, separated by commas.)

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    2. 👎 0
    posted by etrre

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