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Which quadratic equation has no real solutions? A) 3X² - 3 = 0... (May 2023 U.S.)
Which quadratic equation has no real solutions?
A) 3X² - 3 = 0
B) 3X² + 3X = 0
C) 3X² + 3X + 3 = 0
D) 3X² - 6X + 3 = 0
Solution
Correct answer: C) 3X² + 3X + 3 = 0.
This equation has a discriminant (b² - 4ac) that is negative, which means the equation has no real roots.
The discriminant for this equation is:
b² - 4ac = (3)² −4 (3) (3) = 9 − 36 = −27
Since the discriminant is negative, this quadratic equation has no real solutions.
Exam Edition: May 2023 U.S.
Exam Year: 2023
Related topics: Quadratic Equation