Find the positive value of `x` for which the given equation is satisfied: `(x^2-9)/(5+x^2)=\ -5/9` (ii) `(y^2+4)/(3y^2+7)=1/2`

Explanation

`(i) (x^2-9)/(5+x^2)=-5/9`
`9(x^2-9)=-5(x^2+5)`
`9x^2-81=-5x^2-25`
`9x^2+5x^2=-25+81`
`14x^2=56`
`x^2=56/14`
`x^2=4`
`x=2`
`(ii) (y^2+4)/(3y^2+7)= 1/2`
`2(y^2+4)=1(3y^2+7)`
`2y^2+8=3y^2+7`
`2y^2-3y^2=7-8`
`y^2=-1`