방정식의 근원은 무엇입니까 ^ x {2} = 2+ 7x?

대답:

# x = 2 #

# x = -1 / 4 #

설명:

감안할 때 -

# 4x ^ 2 = 2 + 7x #

# 4x ^ 2-7x-2 = 0 #

# x ^ 2-7 / 4x-2 / 4 = 0 #

# x ^ 2-7 / 4x-1 / 2 = 0 #

# x ^ 2-7 / 4x = 1 / 2 #

# x ^ 2-7 / 4x + 49 / 64 = 1 / 2 + 49 / 64 = (32 + 49) / 64 = 81 / 64 #

# (x ^ 2-7 / 8) ^ 2 = 81 / 64 #

# (x-7 / 8) = + - sqrt (81/64) #

# (x-7 / 8) = + - 9 / 8 #

# x = 9 / 8 + 7 / 8 = (9 + 7) / 8 = 16 / 8 = 2 #

# x = 2 #

# x = -9 / 8 + 7 / 8 = (- 9 + 7) / 8 = -2 / 8 = -1 / 4 #

# x = -1 / 4 #