Squaring a number equals 5 times that number

Discussion in 'Calculator Requests' started by math_celebrity, May 18, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Squaring a number equals 5 times that number.

    The phrase a number means an arbitrary variable, let's call it x.

    Squaring this number:

    5 times this number means we multiply by 5:

    The phrase equals means we set both expressions equal to each other:
    x^2 = 5x <-- This is our algebraic expression

    If you want to solve for x, then we subtract 5x from each side:
    x^2 - 5x = 5x - 5x

    Cancel the 5x on the right side, leaving us with 0:
    x^2 - 5x = 0

    Factor out x:
    x(x - 5)

    So we get x = 0 or x = 5

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