Quadratics and Number of Solutions

Directions: Using the integers -9 to 9, at most one time each, place an integer in each box to create three quadratic equations: one with two imaginary solutions, one with one real solution, and one with two real (rational or irrational) solutions.

Hint

How could you use the discriminant to help you identify each of the quadratics?

Answer

There are many possible solutions. One such set of answers could be: two imaginary solutions 0=2x^2 + 0x + 8, one real solution 0=1x^2 + -6x + 9, two real (irrational) solutions 0=5x^2 + 7x + -3.

Source: Ryan D. Fox

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3 comments

  1. 1x^2+0x+9=0 x=+ or – 3i
    4x^2+3x+-1=0 x=0.25, -1
    2x^2+-8x+8=0 x=2

  2. easy peshooteasy with THE POWER OF MINUS EIGHT

  3. thx for prob tho

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