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If the discriminant of an equation is negative, which of the following is true of the equation?A.It has two complex solutions.B.It has one real solution.C.It has two real solutions.SUBMITarrow_backPREVIOUS

Question

If the discriminant of an equation is negative, which of the following is true of the equation?A.It has two complex solutions.B.It has one real solution.C.It has two real solutions.SUBMITarrow_backPREVIOUS

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Solution

The correct answer is A. It has two complex solutions.

Here's why:

The discriminant of a quadratic equation is found in the formula ax^2 + bx + c = 0, and it's calculated as b^2 - 4ac.

The discriminant tells us about the nature of the roots of the equation:

  1. If the discriminant is positive, we have two distinct real roots.
  2. If the discriminant is zero, we have exactly one real root (or a repeated real root).
  3. If the discriminant is negative, we have two complex roots.

So, if the discriminant of an equation is negative, the equation has two complex solutions.

This problem has been solved

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