Question

Si x-y=2 ∧ xy = 3
Calcula x^2+ y^2

Answer 1

Respuesta: x^2+y^2=10

Explicación paso a paso: aplicando binomio al cuadrado

$(x-y)^{2} =x^{2} +y^{2} -2xy\\2^{2} =x^{2} +y^{2} -2.3\\4=x^{2} +y^{2} -6\\x^{2} +y^{2} =10$