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UI Post-UTME Mathematics 2018 (Model questions) Question 50

Question 50

Algebraic Expressions

If z = √(x2 − y2), express x interms of y and z

  1. A.x = √(z2 + y2)
  2. B.x = √(y2 − z2)
  3. C.x = √(z2y2)
  4. D.x = √(y2z2)
Show the answer and explanation

Answer: A (x = √(z2 + y2))

Explanation

Square: z² = x² − y², so x² = z² + y² and x = √(z² + y²).