Question

How do you solve `3/2=11/(2m)-m-2/m`?

Answer 1

`x=-2.766 " or " + 1.266" "` to 3 decimal places

If you need more detail about the calc go to my profile page and put a not on it!

Explanation:

`3/2 = (11-2m^2-4)/(2m)`

`6m=22-4m^2-8`

`4m^2+6m-14=0`

`(am+?)(bm+?)`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Attempt 1")`
`(4m-2)(m+7) -> 4m^2+28m-2m-14color(red)(" Fail!")`

`color(blue)("Attempt 2")`
`(m-2)(4m+7)->4m^2+7m-2m-14color(red)(" Fail!")`

`color(blue)("Attempt 3")`
`(2m-2)(2m+7)->4m^2 +14m-4m-14 color(red)(" Fail!")`

`color(blue)("Attempt 4")`

`x=(-6+-sqrt(6^2-4(4)(-14)))/(2(4))`

`x=(-6+-sqrt(36 +224))/8`

`x= (-6+-sqrt(260))/8`

`x=(-6+-2sqrt(65))/8`

(-6-

`x=-2.766 " or " + 1.266" "` to 3 decimal places