Solve the Equation for the Indicated Variable $x$ $25 + \sqrt { x ^ { 2 } - y ^ { 2 } } = z$

question 91

Multiple Choice

Solve the equation for the indicated variable.
-Solve for $x$ : $25 + \sqrt { x ^ { 2 } - y ^ { 2 } } = z$

• A) \(x = z ^ { 2 } + y ^ { 2 } - 50 z + 625\)
• B) \(x = \pm \sqrt { z + y ^ { 2 } - 5 }\)
• C) \(x = \sqrt { z - y ^ { 2 } - 5 }\)
• D) \(x = \pm \sqrt { ( z - 25 ) ^ { 2 } + y ^ { 2 } }\)

---

Definitions:

Court

An institution established by the government to settle disputes through a legal process, providing a forum where evidence is presented and legal judgments are made.

Consideration

Something of value (such as goods, services, or money) that is exchanged between parties in a contract, making the agreement legally binding.

Preexisting Duty Rule

A principle in contract law that holds an existing duty does not constitute consideration for a new promise.

Unforeseen Circumstances

Events or conditions that could not have been reasonably anticipated and that may affect the performance of contractual obligations.