The value of b which satisfies the given quadratic equation is both: A. b = (-3 + 2√3)/2 and (-3 - 2√3)/2.
How to solve a quadratic equation?
In this exercise, you're required to solve for the value of b which satisfies the given quadratic equation. Thus, we would simplify the quadratic equation as follows:
3(2b + 3)² = 36
Dividing both sides by 3, we have:
(2b + 3)² = 12
Taking the square root of both sides, we have:
2b + 3 = ±√12
2b + 3 = ±√4 × √3
2b + 3 = ±2√3
2b = -3 ± 2√3
b = (-3 + 2√3)/2 and (-3 - 2√3)/2.
Read more on quadratic equation here: brainly.com/question/1214333
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