QUESTION 5 Given that \( x=3 \) and \( y=3 \), find the value of \( Z \) in the expression; \( Z^{2}+\frac{8 x}{2 y}=8 \). ( 3 marks \( ) \)
Upstudy AI Solution
Answer
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Bonus Knowledge
To find the value of \( Z \), we start with the given expression: \[ Z^{2} + \frac{8x}{2y} = 8 \] Substituting \( x = 3 \) and \( y = 3 \) into the equation: \[ Z^{2} + \frac{8 \cdot 3}{2 \cdot 3} = 8 \] Calculating the fraction: \[ \frac{8 \cdot 3}{2 \cdot 3} = \frac{24}{6} = 4 \] Now, substitute that back into the equation: \[ Z^{2} + 4 = 8 \] To solve for \( Z^{2} \), we subtract 4 from both sides: \[ Z^{2} = 8 - 4 \] \[ Z^{2} = 4 \] Taking the square root of both sides gives: \[ Z = 2 \quad \text{or} \quad Z = -2 \] Thus, the values of \( Z \) are \( Z = 2 \) or \( Z = -2 \).