Question

A student is solving the equation shown.

√x+1+2√x-1=0
For the first step in solving the equation, the student subtracts the second term from both sides of the equation.
For the second step, the student squares both sides of the equation.
What is the result of the second step?

Answer 1

• C) x + 1 = 4(x - 1)

-----------------------

Given equation to solve:

• 
  `√(x+1) +2√(x-1) =0`

The result of the first step:

• 
  `√(x+1) =-2√(x-1)`

The second step:

• 
  `(√(x+1))^2 =(-2√(x-1) )^2`

And its result is:

• x + 1 = 4(x - 1)

The matching choice is C.