Question

Please solve these radical equations and show the steps so that I can understand them. In my notes, it says the steps are to Isolate the radical, square both sides, solve for the variable, and check for the extraneous solutions so if this is what you are supposed to do please show these steps in action. Thank you for your time.

Answer 1

1) X = 0

2) X = 0 or X = 1

Explanation:

1)

`√(6x) + 9 + 2 = 11`

6x = 0 since root can only be = 0 if radicand is 0

X = 0

2)

`√(x) - 3 + 3 = x`

`√(x) = x`

X = x^2 ( We are squaring both sides to simplify)

x-x^2 = 0

x (1-x) = 0 (Factor the expression)

X = 0 or

1 -x = 0

X = 1

Answered by Gauthmath