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Math

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Solve the equation by first factoring the quadratic expression.

1. x2+4.5x=0 2. x2-9x=0 3. -x2+10x=0

  • Math - ,

    1.

    x ^ 2 + 4.5 x = 0

    x ^ 2 + 9 x / 2 = 0

    x / 2 ( 2 x + 9 ) = 0 Multiply both sides by 2

    x ( 2 x + 9 ) = 0

    First solution:

    obviously x = 0

    Second solution:

    2 x + 9 = 0 Subtract 9 to both sides

    2 x + 9 - 9 = 0 - 9

    2 x = - 9 Divide both sides by 2

    x = - 9 / 2

    Solutions are x = 0 and x = - 9 / 2


    2.

    x ^ 2 - 9 x = 0

    x ( x - 9 ) = 0

    First solution:

    obviously x = 0

    Second solution:

    x - 9 = 0 Add 9 to both sides

    x - 9 + 9 = 0 + 9

    x = 9

    Solutions are x = 0 and x = 9


    3.

    - x ^ 2 + 10 x = 0

    x ( - x + 10 ) = 0

    First solution:

    obviously x = 0

    Second solution:

    - x + 10 = 0 Subtract 10 to both sides

    - x + 10 - 10 = 0 - 10

    - x = - 10 Multiply both sides by - 1

    x = 10

    Solutions are x = 0 and x = 10

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