odpoveď:
# x = 5 + sqrt 33 # alebo # x = 5-sqrt33 #
vysvetlenie:
# X / 4- (2x) / (x + 2) = 1 #
#:. (X (x + 2) 4 (2x) = 4 (x + 2)) / (4 (x + 2)) #
# "znásobiť obe strany" ## 4 (x + 2) #
#:. X (x + 2) 4 (2x) = 4 (x + 2) #
#:. X ^ 2 + 2x-8x = 4x + 8 #
#:. X ^ 2 + 2x-8x 4x-8 = 0 #
#:. X ^ 2-10x-8 = 0 #
# "kvadratický vzorec: -" #
#:. x = (- b + -sqrt (b ^ 2-4ac)) / (2a) #
#:. A = 1, b = -10, c = -8 #
#:. x = (- (- 10) + - sqrt ((-10) ^ 2-4 (1) (- 8)) / 2 #
#:. x = (10 + - sqrt (132)) / 2 #
#:. x = (10 + - sqrt (33 * 2 * 2)) / 2 #
#:. x = (10 + - 2 sqrt (33)) / 2 #
#:. x = 5 + - sqrt 33 #
#:. x = 5 + sqrt 33 alebo x = 5- sqrt 33 #
