![The question as written, 2sqrt((x-1)3) - 4 = 0, leads to x = 1 + [3]4, which is approximately 2.587. This value is not among the given options.](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1779729155353-2d6e6dbae38c8bfb.png&w=3840&q=75)
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 Answer
The question as written, 2sqrt((x-1)^3) - 4 = 0, leads to x = 1 + [3]4, which is approximately 2.587. This value is not among the given options. Assuming there is a typo in the question and the exponent was intended to be 2 instead of 3, the equation becomes 2sqrt((x-1)^2) - 4 = 0. We will solve this modified equation. Step 1: Isolate the square root term. 2sqrt((x-1)^2) - 4 = 0 Add 4 to both sides: 2sqrt((x-1)^2) = 4 Step 2: Divide by 2 and simplify the square root. sqrt((x-1)^2) = (4)/(2) sqrt((x-1)^2) = 2 Recall that sqrt(a^2) = |a|. |x-1| = 2 Step 3: Solve the absolute value equation. This means that x-1 can be 2 or x-1 can be -2. Case 1: x-1 = 2 Add 1 to both sides: x = 2 + 1 x = 3 Case 2: x-1 = -2 Add 1 to both sides: x = -2 + 1 x = -1 Step 4: Compare with the given options. The possible values for x are 3 and -1. The given options are A) 3 and B) 2. Since x=3 is one of the solutions and is listed as option A, this is the most probable intended answer. The final answer is A) 3. Send me the next one 📸