Question

Find the value of the variable.


`(15)/(11)x=(5√(15))^(2)`

Answer 1

Heya!

I'm going to skip the decimal part with the square root since its a non-terminating decimal.

Steps to solve:

`(15)/(11)x = (5√(15))^2`

~Simplify

`(15)/(11)x = 375`

~Multiply
`(11)/(15)` to both sides

`(15)/(11)x * (11)/(15) = 375 * (11)/(15)`

~Simplify

→
`x = 275` ←

Best of Luck!

Answer 2

Hey there!

Your answer is x = 275.

First let's simplify the right side of the equation. I'm just going to put it into a calculator because it will get messy with decimals. But know that the operations inside parenthesis are done before squaring the value.

15 is square rooted (is that a word?), multiplied by 5, and after that it is squared. This is equal to 375.

Now we have the following:

`(15)/(11) x = 375`

Divide each side of the equation by
`(15)/(11)`.

x = 275

The value of x is 275.

Hope this helps!