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For the following equation, state the value of the discriminant and then describe the nature of the solutions.

What is the value of the disriminant?

Does the equation have two imaginary solutions, two real solutions, or one real solution?

  • Algebra -

    First find the discriminant. The formula for it is

    D = b^2 - 4ac

    D = 3^2 - 4(-7)(-4)

    Solve that, and if the solution is positive, there are 2 solutions.

    If it's negative, there are imaginary solutions.

    If it equals 0, there is one solution

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