which equation can be rewritten as $x + 4 = x^{2}$? assume $x>0$.\n$sqrt{x}+2 = x$\n$sqrt{x + 2}=x$\n$sqrt{x…
which equation can be rewritten as $x + 4 = x^{2}$? assume $x>0$.\n$sqrt{x}+2 = x$\n$sqrt{x + 2}=x$\n$sqrt{x + 4}=x$\n$sqrt{x^{2}+16}=x$
Answer
Answer:
C. $\sqrt{x + 4}=x$
Explanation:
Step1: Square both sides of the equation.
If we have the equation $\sqrt{x + 4}=x$, squaring both sides gives $(\sqrt{x + 4})^2=x^2$.
Step2: Simplify the left - hand side.
By the property $(\sqrt{a})^2=a$ (for $a\geq0$), we get $x + 4=x^2$.