Solve for u: t = √(u² + v²)

Published on August 4, 2024

Algebra

Find the value of 'u' in the equation t = √(u² + v²). The solution involves isolating 'u' by squaring both sides, rearranging terms, and taking the square root. The answer is u = ±√(t² - v²).

Question

u=?

Answer

Given the equation

, let’s solve for

step-by-step:

Isolate the square root: Square both sides of the equation to get rid of the square root:
Isolate the term with u: Subtract from both sides:
Solve for u: Take the square root of both sides. Remember to consider both positive and negative solutions:

Therefore, the solutions for

are

and

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