Subjects algebra

Make A Subject 7C041C

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Make A Subject 7C041C


1. **State the problem:** Make $A$ the subject of the equation $$B = \frac{k}{A^2} + h$$. 2. **Isolate the term with $A$:** Subtract $h$ from both sides to get $$B - h = \frac{k}{A^2}$$. 3. **Rewrite the equation:** $$B - h = \frac{k}{A^2}$$ means $$A^2 = \frac{k}{B - h}$$ (assuming $B \neq h$ to avoid division by zero). 4. **Solve for $A$:** Take the square root of both sides: $$A = \pm \sqrt{\frac{k}{B - h}}$$. 5. **Final answer:** $$A = \pm \sqrt{\frac{k}{B - h}}$$. This expresses $A$ in terms of $B$, $k$, and $h$.