# Algebra

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For the following equation, state the value of the discriminant and then describe the nature of the solutions.
-7x^2+3x-4=0

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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