Take the square root of both sides of the equation.

May 20, 2026Biology

ScanSolve AI Answer

May 20, 2026

Answer

$\frac{1 + 2\sqrt{3}}{3}$

Step 1: Take the square root of both sides of the equation. $(3x - 1)^2 = 12$ $\sqrt{(3x - 1)^2} = \pm\sqrt{12}$ $3x - 1 = \pm\sqrt{4 \times 3}$ $3x - 1 = \pm 2\sqrt{3}$

Step 2: Isolate the term with $x$ . Add 1 to both sides of the equation. $3x = 1 \pm 2\sqrt{3}$

Step 3: Solve for $x$ . Divide both sides by 3. $x = \frac{1 \pm 2\sqrt{3}}{3}$ The solutions for $x$ are $\boxed{\frac{1 + 2\sqrt{3}}{3}}$ and $\boxed{\frac{1 - 2\sqrt{3}}{3}}$ .

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Take the square root of both sides of the equation. (3x - 1)^2 = 12 sqrt((3x - 1)^2) = ±sqrt(12) 3x - 1 = ±sqrt(4 × 3) 3x - 1 = ± 2sqrt(3) Step 2: Isolate the term with x.

Asked on May 20, 2026Biology

This biology question covers important biological concepts and processes. The step-by-step explanation below helps you understand the underlying mechanisms and reasoning.

ScanSolve AI AnswerAnswered on May 20, 2026

Step 1: Take the square root of both sides of the equation. (3x - 1)^2 = 12 sqrt((3x - 1)^2) = ±sqrt(12) 3x - 1 = ±sqrt(4 × 3) 3x - 1 = ± 2sqrt(3) Step 2: Isolate the term with x. Add 1 to both sides of the equation. 3x = 1 ± 2sqrt(3) Step 3: Solve for x. Divide both sides by 3. x = 1 ± 2sqrt(3)3 The solutions for x are 1 + 2sqrt(3)3 and 1 - 2sqrt(3)3. 3 done, 2 left today. You're making progress.