Lutasin:? 5x (1 + 1 / (x ^ 2 + y ^ 2)) = 12 at 5y (1 - 1 / (x ^ 2 + y ^ 2)) = 4

Sagot:

Tingnan ang sagot sa ibaba …

Paliwanag:

# 5x (1 + 1 / (x ^ 2 + y ^ 2)) = 12 ##color (pula) "|" ## 5y (1-1 / (x ^ 2 + y ^ 2)) = 4 #

# => (1 + 1 / (x ^ 2 + y ^ 2)) = 12 / (5x) ##color (pula) "|" ## => (1-1 / (x ^ 2 + y ^ 2)) = 4 / (5y) #

Mula sa parehong equation,

#color (pula) (12 / (5x) + 4 / (5y) = 2 #

# => 12 / (5x) = 2-4 / (5y) #

# => 6 / (5x) = 1-2 / (5y) #

# => (5x) / 6 = (5y) / (5y-2) #

# => x = (6y) / (5y-2) #

Paglalagay nito sa unang equation, #color (green) (5cdot (6y) / (5y-2) {1 + 1 / (y ^ 2 + ((6y) / (5y-2)) ^ 2)

Tulungan mo ako ngayon.

Sagot:

Tingnan sa ibaba.

Paliwanag:

# x ^ 2 + y ^ 2 = (5x) / (12-5x) #

# x ^ 2 + y ^ 2 = (5y) / (4-5y) #

ngayon

# (5x) / (12-5x) = (5y) / (4-5y) rArr x = 3y # pagkatapos

# (3y) ^ 2 + y ^ 2 = (5y) / (4-5y) rArr 10y = 5 / (4-5y) #

#y = {(1/10 (4-sqrt6)), (1/10 (4 + sqrt6)):} #

#x = {(1/30 (4-sqrt6)), (1/30 (4 + sqrt6)):} #