Question

Solve for x, given the equation Square root of x plus 9 − 4 = 1.
x = 16, solution is not extraneous
x = 16, solution is extraneous
x = 34, solution is not extraneous
x = 34, solution is extraneous

Answer 1

@SolomonZelman ik its x = 16 but idk if its extraneous or not

Answer 2

\(\large\color{slate}{\displaystyle \sqrt{x+9}-4=1}\)

Answer 3

yes, then x=16.

extraneous solution is a solution that doesn't satisfy the original equation.
When you plug in 16 for x , does that make the statement \(\large\color{slate}{\displaystyle \sqrt{x+9}-4=1}\) true?

Answer 4

yes

Answer 5

so its A

Answer 6

that means it is not an extraneous solution.

Answer 7

yes