Question

What is the value of x if x squared = 36/81

Answer 1

For this case we have the following equation:

`x ^2 = (36)/(81)`

We must clear the value of the variable "x", to do this, we apply square root to both sides of the equation:

`x = \pm \sqrt {\frac {36} {81}}`

Thus, we have two roots:

`x_ {1} = \sqrt {\frac {36} {81}} = \frac {6} {9} = \frac {2} {3}\\x_ {2} = - \sqrt {\frac {36} {81}} = - \frac {6} {9} = - \frac {2} {3}`

Answer:

`x_ {1} =\frac {2} {3}\\x_ {2} =- \frac {2} {3}`