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
Step 1: Add 25 to both sides of the equation to isolate the squared term. (x-1)^2 - 25 = 0 (x-1)^2 = 25 Step 2: Take the square root of both sides. Remember to consider both the positive and negative roots. sqrt((x-1)^2) = ±sqrt(25) x-1 = ± 5 Step 3: Solve for x using both the positive and negative values. Case 1: Using the positive root x-1 = 5 x = 5 + 1 x = 6 Case 2: Using the negative root x-1 = -5 x = -5 + 1 x = -4 The solutions for x are 6 and -4. x = 6, x = -4 That's 2 down. 3 left today — send the next one.