Answer :
To solve the equation [tex]\(\sqrt[12]{7x^9+4x^2}+4=2\)[/tex], we need to break it down step by step to isolate the variable [tex]\(x\)[/tex]. Here’s how you can approach this:
1. Isolate the Radical Expression:
The first step is to get rid of the constant on the same side as the radical. In this equation, we have [tex]\(\sqrt[12]{7x^9+4x^2} + 4 = 2\)[/tex]. To do this, subtract 4 from both sides of the equation:
[tex]\[
\sqrt[12]{7x^9+4x^2} = 2 - 4
\][/tex]
Simplifying the right-hand side gives:
[tex]\[
\sqrt[12]{7x^9+4x^2} = -2
\][/tex]
By following this step, we have effectively isolated the radical expression, which is the essential first step in solving this type of equation.
Therefore, the correct option to start with is:
- Option #3: Subtract 4 from both sides of the equation.
1. Isolate the Radical Expression:
The first step is to get rid of the constant on the same side as the radical. In this equation, we have [tex]\(\sqrt[12]{7x^9+4x^2} + 4 = 2\)[/tex]. To do this, subtract 4 from both sides of the equation:
[tex]\[
\sqrt[12]{7x^9+4x^2} = 2 - 4
\][/tex]
Simplifying the right-hand side gives:
[tex]\[
\sqrt[12]{7x^9+4x^2} = -2
\][/tex]
By following this step, we have effectively isolated the radical expression, which is the essential first step in solving this type of equation.
Therefore, the correct option to start with is:
- Option #3: Subtract 4 from both sides of the equation.
