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To solve the equation (3(2b - 3)^2 = 36), first divide both sides by 3, giving ((2b - 3)^2 = 12). Taking the square root of both sides yields (2b - 3 = \pm \sqrt{12}), which simplifies to (2b - 3 = \pm 2\sqrt{3}). Solving for (b), we find (b = \frac{3 \pm 2\sqrt{3}}{2}). Thus, the values of (b) that satisfy the equation are (b = \frac{3 + 2\sqrt{3}}{2}) and (b = \frac{3 - 2\sqrt{3}}{2}).

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1mo ago

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