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What is the first step in solving the equation [tex]\sqrt[12]{7x^9+4x^2}+4=2[/tex]?

Enter the option number of the correct response.

Option \#1: Raise both sides of the equation to the 12th power.

Option \#2: Factor [tex]x^2[/tex] out from [tex]7x^9+4x^2[/tex].

Option \#3: Subtract 4 from both sides of the equation.

(1 point)

Option \# [tex]$\square$[/tex]

Answer :

To solve the equation [tex]\(\sqrt[12]{7 x^9 + 4 x^2} + 4 = 2\)[/tex], we need to isolate the term inside the radical. Here are the steps to solve it:

1. Subtract 4 from both sides:
[tex]\[
\sqrt[12]{7 x^9 + 4 x^2} + 4 - 4 = 2 - 4
\][/tex]
This simplifies to:
[tex]\[
\sqrt[12]{7 x^9 + 4 x^2} = -2
\][/tex]

Hence, the first step is:
Option 3: Subtract 4 from both sides of the equation.

So the correct option is number 3.

Option \# 3

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