1 / v +(3v + 12)/(v ^ 2-5v)=(7v-56)/(v ^ 2-5v)をどのように解き、余分な解を調べますか?

1 / v +(3v + 12)/(v ^ 2-5v)=(7v-56)/(v ^ 2-5v)をどのように解き、余分な解を調べますか?
Anonim

回答:

v = 21

説明:

1 / v +(3v + 12)/(v ^ 2-5v)=(7v-56)/(v ^ 2-5v)

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

一般的な分母は 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