Question

What is the first step to take to solve the radical equation 12+x4−10−−−−−−√=8
?(1 point)
Responses

Add 12 to both sides of the equation.
Add 12 to both sides of the equation.

Raise both sides of the equation to the second power.
Raise both sides of the equation to the second power.

Add 10 to both sides of the equation.
Add 10 to both sides of the equation.

Subtract 12 from both sides of the equation.
Subtract 12 from both sides of the equation.

Answer 1

To solve the radical equation \( 12 + \sqrt{x^4 - 10} = 8 \), the first step is to isolate the square root term.

So, you should **subtract 12 from both sides of the equation**.

This will simplify the equation to:
\[
\sqrt{x^4 - 10} = 8 - 12
\]
\[
\sqrt{x^4 - 10} = -4
\]

Since the square root of a number cannot equal a negative number, we can conclude that the original equation has no solution at this point.

However, following your prompt for the first step, the correct choice is:
**Subtract 12 from both sides of the equation.**