Question

2/v-7+v-6/v^2-7v=4/v-7

Answer 1

v=0, v=7

Explanation:

Answer 2

v≈ -1.65573 ,v≈6.91725

Explanation:

`(2)/(v)-7+v-(6)/(v^2)-7v=(4)/(v-7)\\\mathrm{Find\:Least\:Common\:Multiplier\:of\:}v,\:v^2,\:v-7:\quad v^2\left(v-7\right)\\=(2)/(v)v^2\left(v-7\right)-7v^2\left(v-7\right)+vv^2\left(v-7\right)-(6)/(v^2)v^2\left(v-7\right)-7vv^2\left(v-7\right)=(4)/(v-7)v^2\left(v-7\right)\\Simplify\\=2v\left(v-7\right)-7v^2\left(v-7\right)-6v^3\left(v-7\right)-6\left(v-7\right)=4v^2\\\mathrm{Solve\:}\:2v\left(v-7\right)-7v^2\left(v-7\right)-6v^3\left(v-7\right)-6\left(v-7\right)=4v^2:\\`

`v` ≈ -1.65573

`v` ≈ 6.91725

v=0, v=7