9
QuizMultiple Choice

Solving Quadratic Equations: Square Root Property — Quiz

Question 9 • Algebra I

Which are the roots of the quadratic function f of b is equal to b squared minus 75 ? Choose two correct answers.

Answer
A
b is equal to negative 5 square root of 3
B
b is equal to negative 3 square root of 5
C
b is equal to 5 square root of 3
D
b is equal to 25 square root of 3
E
b is equal to 3 square root of 5

Explanation

To find the roots, set the function equal to zero: b² − 75 = 0, so b² = 75. Taking the positive and negative square roots gives b = ±√75 = ±5√3. Therefore, the roots are negative 5 square root of 3 and positive 5 square root of 3, choices A and C.

AI-written and checked against the verified answer.

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