Answer to Question #217354 in Algebra for nonas

Question

How many solutions exist for the equation: x-4=3(2-x)^1/2 ?

A. none

B. exactly one

C. exactly two

D. more than two

Answer 1

$$\begin{matrix} x-4\geq0 \\ 2-x\geq0 \end{matrix}$$

$$\begin{matrix} x\geq4 \\ x\leq2 \end{matrix}$$

There is no solution.

A. none