Question

Which is the best way to solve the equation?​

Answer 1

Option D:

Square both sides of the equation is the best way to solve the equation.

Solution:

Given equation:

`√(x)=k`

To find which is the best way to solve the equation.

Option A: Multiply both sides of the equation by k.

`√(x)=k`

`k√(x)=k^2`

In this method, we are not obtain x value.

It is not true.

Option B: Divide both sides of the equation by k.

`$(√(x))/(k) =(k)/(k)`

`$(√(x))/(k) =1`

In this method, we are not obtain x value.

It is not true.

Option C: Take the square root of both sides of the equation.

`\sqrt{√(x)}=√(k)`

`x^{(1)/(4) }=√(k)`

In this method, we are not obtain x value.

It is not true.

Option D: Square both sides of the equation.

`(√(x))^2=k^2`

Square and square root get canceled.

`x=k^2`

We obtain x value.

It is true.

Therefore square both sides of the equation is the best way to solve the equation.

Option D is the correct answer.