你如何解决1 / v +(3v + 12)/(v ^ 2-5v)=(7v-56)/(v ^ 2-5v)并检查无关的解?

你如何解决1 / v +(3v + 12)/(v ^ 2-5v)=(7v-56)/(v ^ 2-5v)并检查无关的解?
Anonim

回答:

#V = 21#

说明:

#1 / V +(3V + 12)/(V ^ 2-5V)=(N-56)/(V ^ 2-5V)#

#1 / V +(3V + 12)/(V ^ 2-5V) - (N-56)/(V ^ 2-5V)= 0#

共同点是 ·V ^ = 2-5V V(V-5)#

#(V-5 + 3V + 12-(7V-56))/(V ^ 2-5V)= 0#

#(V-5 + 3V + 12-7v + 56)/(V ^ 2-5V)= 0#

#(V + 3V-7V-5 + 12 + 56)/(V ^ 2-5V)= 0#

#( - 3V + 63)/(V ^ 2-5V)= 0#

#-3V + 63 = 0#

#-3V = -63#

·V =( - 63)/( - 3)#

#V = 21#