math

The sum of two numbers is 45 and the mean proportional betweem them is 18.the numbers are

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asked by Tooba
  1. x = first number

    y = second number

    x + y = 45 Subtract x to both sides

    x + y - x = 45 - x

    y = 45 - x

    square root ( x * y ) = 18 Take square of both sides

    x * y = 18 ^ 2

    x * y = 324

    x * ( 45 - x ) = 324

    x * 45 - x * x = 324

    45 x - x ^ 2 = 324 Subtract 324 to both sides

    45 x - x ^ 2 - 324 = 324 - 324

    45 x - x ^ 2 - 324 = 0

    - x ^ 2 + 45 x - 324 = 0 Multiply by - 1

    x ^ 2 - 45 x + 324 = 0

    The solutions are :

    x = 9 and x = 36

    For x = 9

    y = 45 - x = 45 - 9 = 36

    For x = 36

    y = 45 - x = 45 - 36 = 9

    So numbers are 9 and 36

    9 + 36 = 45

    square root ( 9 * 36 ) = square root ( 324 ) = 18

    P.S

    If you don't know how to solve equation :

    x ^ 2 - 45 x + 324 = 0

    In google type :

    quadratic equation online

    When you see list of results click on :

    Free Online Quadratic Equation Solver: Solve by Quadratic...

    When page be open in rectangle type :

    x ^ 2 - 45 x + 324 = 0

    and click option :

    solve it!

    You will see solution step - by - step

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    posted by Bosnian

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