What is the discriminant of the equation x² + 6x + 9 = 0? (2020)

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Question: What is the discriminant of the equation x² + 6x + 9 = 0? (2020)

Options:

Correct Answer: 0

Exam Year: 2020

Solution:

The discriminant is b² - 4ac = 6² - 4*1*9 = 0.

What is the discriminant of the equation x² + 6x + 9 = 0? (2020)

What is the discriminant of the equation x² + 6x + 9 = 0? (2020)

Step 1: Identify the coefficients a, b, and c from the equation x² + 6x + 9 = 0. Here, a = 1, b = 6, and c = 9.
Step 2: Use the formula for the discriminant, which is b² - 4ac.
Step 3: Calculate b². Since b = 6, b² = 6² = 36.
Step 4: Calculate 4ac. Since a = 1 and c = 9, 4ac = 4 * 1 * 9 = 36.
Step 5: Substitute the values into the discriminant formula: Discriminant = 36 - 36.
Step 6: Simplify the expression: 36 - 36 = 0.
Step 7: Conclude that the discriminant of the equation is 0.

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