Respuesta :
Answer:
[tex]x=\sqrt{16}[/tex] will give answer x=4
[tex]x^2=16[/tex] will give answer x=4 and x= -4
Step-by-step explanation:
To understand the concept of why this happens, let us try to analyse both the equations.
1. [tex]x=\sqrt{16}[/tex]
This equation actually tells that it has already been solved and we just need to tell the answer i.e. x=4. We can see the same by substituting values into x.
if x=4
[tex]4=\sqrt{16}[/tex] which is a true condition.
if x=-4
[tex]-4=\sqrt{16}[/tex] which is a false condition.
2. [tex]x^2=16[/tex]
This equation actually tells that it needs solving and we need to find the answer. If we substitute values into x in the equation we have:
if x=4
[tex]x^2=16[/tex]
[tex]4^2=16[/tex] which is true.
if x=-4
[tex]x^2=16[/tex]
[tex](-4)^2=16[/tex] which is also true.
Hence we can see that :
[tex]x^2=16[/tex] can give two solutions i.e x=4 and x=-4 and
[tex]x=\sqrt{16}[/tex] will give answer x=4
