system of equations.

Question

the area of a rectangle is √2 m² and has the length of a diagonal is√3 m. find the dimesions. use quadratic formula.

Answer 1

xy = √2; x² + y² = 3; (x + y)² = 3 + 2√2; x + y = √(3 + 2√2) = √2 + 1

(x - y)² = 3 - 2√2; x - y = √(3 - 2√2) = √2 - 1; x = √2; y = 1