(x / 4) - (2x / x + 2) = 1은 무엇입니까?

대답:

# x = 5 + sqrt 33 # 또는 # x = 5-sqrt33 #

설명:

# x / 4- (2x) / (x + 2) = 1 #

# (x + 2) -4 (2x) = 4 (x + 2)) / (4 (x + 2)

# "양면에"## 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 #

# "이차 수식: -"#

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 또는 x = 5- sqrt 33 #