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Question 10 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

What values of b satisfy 3 times open paren 2 b plus 3 close paren squared is equal to 36 ?

Answer

b is equal to 9 halves and negative 3 halves

b is equal to the fraction with numerator negative 3 plus 2 square root of 3 and denominator 2 and the fraction with numerator negative 3 minus 2 square root of 3 and denominator 2

b is equal to the fraction with numerator negative 3 plus 2 square root of 3 and denominator 3 and the fraction with numerator negative 3 minus 2 square root of 3 and denominator 3

b is equal to 3 halves and negative 9 halves

Explanation

Divide both sides of 3(2b + 3)² = 36 by 3 to get (2b + 3)² = 12. Taking both square roots gives 2b + 3 = ±2√3, so b = (−3 ± 2√3)/2. This matches choice B: the two values with numerator −3 ± 2√3 and denominator 2.

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