Solve the equation 8x^(1)/(3) - 3 = 1 for x.

April 20, 2026Mathematics

ScanSolve AI Answer

April 20, 2026

Answer

$x = \frac{1}{8}$

Hey Jerome — ready when you are. Step 1: Add $3$ to both sides of the equation. $8x^{\frac{1}{3}} - 3 + 3 = 1 + 3$ $8x^{\frac{1}{3}} = 4$

Step 2: Divide both sides by $8$ . $\frac{8x^{\frac{1}{3}}}{8} = \frac{4}{8}$ $x^{\frac{1}{3}} = \frac{1}{2}$

Step 3: Cube both sides of the equation to solve for $x$ . $(x^{\frac{1}{3}})^3 = \left(\frac{1}{2}\right)^3$ $x = \frac{1^3}{2^3}$ $x = \frac{1}{8}$ The solution is: $x = \frac{1{8}}$ Send me the next one 📸

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Quick Answer

Hey Jerome — ready when you are. Step 1: Add 3 to both sides of the equation.

Asked on April 20, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 20, 2026

Hey Jerome — ready when you are. Step 1: Add 3 to both sides of the equation. 8x^(1)/(3) - 3 + 3 = 1 + 3 8x^(1)/(3) = 4 Step 2: Divide both sides by 8. (8x^1)/(3)8 = (4)/(8) x^(1)/(3) = (1)/(2) Step 3: Cube both sides of the equation to solve for x. (x^(1)/(3))^3 = ((1)/(2))^3 x = (1^3)/(2^3) x = (1)/(8) The solution is: x = (1)/(8) Send me the next one 📸