Solve the formula for the given letter. Assume all variables represent nonnegative numbers.
a^2+k^2=j^2, solving for a
a^2+k^2=j^2
a^2 = j^2 - k^2
a = square root ( j^2 - k^2 )
To solve the formula a^2 + k^2 = j^2 for the variable a, we need to isolate a on one side of the equation. Here's how you do it:
1. Start with the given equation: a^2 + k^2 = j^2.
2. Subtract k^2 from both sides of the equation to isolate a^2: a^2 = j^2 - k^2.
3. Take the square root of both sides to solve for a: √(a^2) = √(j^2 - k^2).
4. Simplify the equation: a = √(j^2 - k^2).
Therefore, the solution to the formula for a is a = √(j^2 - k^2).