odpoveď:
# X = 2 #
# X = -1/4 #
vysvetlenie:
Vzhľadom na -
# 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 (osemdesiat jedna šesťdesiat čtyřiiny) #
# (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 #