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Quadratic Formula Find the Discriminant of the Following Equations and Use It to Determine the Number and Type of Solutions. 8.

Question

Quadratic Formula Find the discriminant of the following equations and use it to determine the number and type of solutions. 8. -x^2-6x-9=0

Solution

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Answer

### 0, one real solution

Explanation

## Step 1: Identify the coefficients### The given equation is . Here, , , and .## Step 2: Calculate the discriminant### The discriminant is given by the formula . Substituting the values, we get .## Step 3: Analyze the discriminant### Since the discriminant , the quadratic equation has one real solution (a repeated root).