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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. -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).