Imaginary Solutions to a Quadratic Equation

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create a quadratic equation with an imaginary solution of the form ±𝒃𝒊 where 𝒃 is a whole number.

Hint

What needs to happen for the solution to be imaginary? How can you guarantee that 𝒃 will be a whole number?

Answer

There are many possible solutions to this problem. One example is 3x^2 + 89 = 62, x = ±3𝒊

Source: Bradley Springer

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