9
QuizMultiple Choice

Introduction to the Quadratic Formula — Quiz

Question 9 • Algebra I

Determine the discriminant for the quadratic equation −3=x2+4⁢x+1. Based on the discriminant value, how many real number solutions does the equation have? Discriminant is equal to b squared minus 4 A c

Answer
A
12
B
2
C
1
D
0

Explanation

Rewrite the equation in standard form: x² + 4x + 4 = 0, so a = 1, b = 4, and c = 4. The discriminant is b² − 4ac = 4² − 4(1)(4) = 0. A zero discriminant means there is exactly one real solution, so the answer is 1 real solution (choice C).

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