Question

How do you solve the equation `(x-2)^2/4+3/2=5/3`?

Answer 1

`2pm2/sqrt6.`

Explanation:

We have, `(x-2)^2/4+3/2=5/3,`

`:. {(x-2)/2}^2=5/3-3/2={(5*2-3*3)/(3*2)}=1/6,`

`:. (x-2)/2=pmsqrt(1/6),`

`:. x-2=pm2/sqrt6,`

`:. x=2pm2/sqrt6.`