Electrical Algebra Problem

Question

The impedance, 𝑍, in a certain circuit is the square root of the sum of the square of the resistance of 𝑅 and the square of the reactance 𝑋 in ohms. Find the reactance of the circuit if 𝑍 = 10 Ω and 𝑅 = 4.5 Ω.

Answer 1

Z² = R² + X²

X² = Z² - R²

X = sqrt(100 - 20.25)

X ~= 8.93 ohms