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
Fresh day master, let's solve. Here's how to solve the equation for x: Step 1: Write the given equation. The equation "x squared minus one over x minus one is equal to 4" can be written as: (x^2 - 1)/(x - 1) = 4 Step 2: Factor the numerator. The numerator x^2 - 1 is a difference of squares, which can be factored as (x-1)(x+1). ((x-1)(x+1))/(x - 1) = 4 Step 3: Simplify the expression. We can cancel out the (x-1) term from the numerator and the denominator, provided that x-1 ≠ 0, which means x ≠ 1. x + 1 = 4 Step 4: Solve for x. Subtract 1 from both sides of the equation: x = 4 - 1 x = 3 Step 5: Verify the condition. Since our solution x=3 is not equal to 1, it is a valid solution. The value of x is 3. Got more? Send 'em 📸