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
4
(238 Votes)
Corin
Master ยท Tutor for 5 years
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).