Question

How do you solve `9y² = 16`?

Answer 1

`y=4/3`

Explanation:

`color(blue)(9y^2=16`

Divide both sides by `9`

`rarr(cancel9y^2)/cancel9=16/9`

`rarry^2=16/9`

Take the square root of both sides

`rarrsqrt(y^2)=sqrt(16/9)`

`rarry=sqrt(16/9)`

Remember that `color(brown)(sqrt(a/b)=sqrta/sqrtb`

`:.sqrt(16/9)=sqrt16/sqrt9`

`rarry=sqrt16/sqrt9`

`color(green)(rArry=4/3=1.bar9`

Remember that the `bar9` means it is repeating...

Eg.`3.555555555..` can be written as `3.bar5`

`:.4/3=1.999999999..` is written as `1.bar9`