How do you solve 9y² = 16?

1 Answer
Mar 28, 2016

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