Make c the subject of the formula
T= x√c²+d²
To make c the subject of the formula T = x√(c² + d²), we need to isolate c on one side of the equation. Here's the step-by-step process:
Step 1: Square both sides of the equation to remove the square root: T² = x²(c² + d²).
Step 2: Expand the equation: T² = x²c² + x²d².
Step 3: Move the x²c² term to the left side: T² - x²c² = x²d².
Step 4: Factor out the common term c²: c²(x²) = x²d² - T².
Step 5: Divide both sides by (x²) to isolate c²: c² = (x²d² - T²) / (x²).
Step 6: Take the square root of both sides to solve for c: c = √((x²d² - T²) / (x²)).
And there you have it! c is now the subject of the formula. Simply substitute the given values of T, x, and d into the equation to find the value of c.