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: Square both sides of the equation to eliminate the square root. t = sqrt((x-a)/(x-b)) t^2 = (sqrt((x-a)/(x-b)))^2 t^2 = (x-a)/(x-b) Step 2: Multiply both sides by (x-b) to remove the fraction. t^2(x-b) = x-a Step 3: Expand the left side of the equation. t^2x - t^2b = x-a Step 4: Collect all terms containing x on one side and terms without x on the other side. t^2x - x = t^2b - a Step 5: Factor out x from the terms on the left side. x(t^2 - 1) = t^2b - a Step 6: Divide both sides by (t^2 - 1) to isolate x. x = (t^2b - a)/(t^2 - 1) The final answer is x = (t^2b - a)/(t^2 - 1). Send me the next one 📸