odpoveď:
# M = -2 #
# M = -7,5 #
vysvetlenie:
Given-
# (2 m + 3) + 12 / (2 m + 3) + 13 = 0 #
Vynásobte obe strany pomocou
# (2 m + 3) (2 m + 3) + 12 / (2 m + 3) (2 m + 3) + 13 (2 m + 3) = 0 (2m + 3) #
# (2 m + 3) (2 m + 3) + 12 / zrušenie (2m + 3) zrušiť (2m + 3) + 13 (2 m + 3) = 0 (2m + 3) #
# 4 m ^ 2 + 12 m + 9 + 12 + 26 m + 39 = 0 #
# 4 m ^ 2 + 38 m + 60 = 0 #
#m = - b + -sqrt (b ^ 2-4ac) / (2a) #
#m = - 38 + -sqrt (38 ^ 2- (4xx4xx60)) / (2xx4) #
#m = - 38 + -sqrt (1444-960) / 8 #
#m = - 38 + -sqrt (484) / 8 = -38 + -22 / 8 #
#m = (- 38 + 22) / 8 = (- 16) / 8 = -2 #
#m = (- 38 - 22) / 8 = (- 60) /8=-7.5#