if a number is added to its square, it equals 20

Discussion in 'Calculator Requests' started by math_celebrity, Mar 31, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    if a number is added to its square, it equals 20.

    Let the number be an arbitrary variable, let's call it n.
    The square of the number means we raise n to the power of 2:
    n^2

    We add n^2 to n:
    n^2 + n

    It equals 20 so we set n^2 + n equal to 20
    n^2 + n = 20

    This is a quadratic equation. So we type this equation into our search engine to solve for n and we get two solutions:
    n = (-5, 4)
     

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