Oldja meg! (2m + 3) + 12 / (2m + 3) + 13 = 0?

Válasz:

# M = -2 #

# M = -7.5 #

Magyarázat:

Adott-

# (2m + 3) + 12 / (2m + 3) + 13 = 0 #

Szorozzuk mindkét oldalt # (2m + 3) #

# (2m + 3) (2m + 3) + 12 / (2m + 3) (2m + 3) + 13 (2m + 3) = 0 (2m + 3) #

# (2m + 3) (2m + 3) + 12 / megszünteti (2m + 3) megszünteti (2m + 3) + 13 (2m + 3) = 0 (2m + 3) #

# 4m ^ 2 + 12m + 9 + 12 + 26m + 39 = 0 #

# 4m ^ 2 + 38m + 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#