Question

What’s is the solution to the equation x to the power of 2 =16/25

Answer 1

`x=(4)/(5)`

Explanation:

The given equation is :

`x^2=(16)/(25)`

We need to find the value of x.

When the exponent 2 removes from LHS, it will shift to RHS as square root as follows :

`x=\sqrt{(16)/(25)}`

We know that, 4×4= 16 and 5×5 = 25

So,

`x=\sqrt{(4* 4)/(5* 5)}\\\\x=(4)/(5)`

So, the solution of the given equation is 4/5.