QuestionWhich equation can be rewritten as $x+4=x^{2}$ ? Assume $x>0$
$\sqrt{x}+2=x$
$\sqrt{x+2}=x$ $\sqrt{x+4}=x$ $\sqrt{x^{2}+16}=x$

Studdy Solution
Analyze the fourth equation: $\sqrt{x^2 + 16} = x$.
Square both sides to eliminate the square root:
$$x^2 + 16 = x^2$$
Subtract $x^2$ from both sides:
$$16 = 0$$
This is not possible, so it does not match $x + 4 = x^2$.
The equation that can be rewritten as $x + 4 = x^2$ is $\sqrt{x+4} = x$.