{((x-y) sqrty = sqrtx / 2), ((x + y) sqrtx = 3sqrty):}?

{((x-y) sqrty = sqrtx / 2), ((x + y) sqrtx = 3sqrty):}?
Anonim

Responda:

# ((x, y), (- sqrt2, -1 / sqrt2), (sqrt2,1 / sqrt2), (- (3sqrt3) / 4, -sqrt3 / 4), ((3sqrt3) / 4, sqrt3 / 4)) #

Explicação:

# {(x-y = 1/2 sqrt (x / y)), (x + y = 3 sqrt (y / x)):} #

assim

# {(x ^ 2-y ^ 2 = 3/2), ((x-y) / (x + y) = 1 / 6x / y):} #

Resolvendo para # x, y # Nós temos

# ((x, y), (- sqrt2, -1 / sqrt2), (sqrt2,1 / sqrt2), (- (3sqrt3) / 4, -sqrt3 / 4), ((3sqrt3) / 4, sqrt3 / 4)) #