Factoring Quadratics 2 – One Solution

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to so that there is only one integer solution. Note that you can use a 05 to make a 5.

Hint

How could you find the equation if you already knew the solutions?

Answer

The possible answers are: 4x^2 + 12x + 09, 4x^2 + 36x + 81, 9x^2 + 12x + 04, 9x^2 + 24x + 16, 9x^2 + 30x + 25, 9x^2 + 54x + 81

Source: Daniel Luevanos

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3 comments

  1. Should this say “so that there is only one solution” instead of “so that the solutions are integers”?

  2. 3x^2+18x+27=0
    3(x+3)^2=0
    x=-3

    I *think* that’s the only case where you can dilate a parabola where a=1 (initially) that doesn’t repeat numbers or get too large.

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