Why does Wolfram provide different graphs for $x^2 = 4$, $x^2 - 4 = 0$?

42 Views Asked by Bumbble Comm At 26 Mar 2026 - 4:50

I have the next cuadratic equation

$x^2=4$

Now do a algebra operations for draw the equation

$x^2-4=4-4$

$x^2-4=0$

Now draw the two equation and are different; why?

thanks

There are 1 best solutions below

Bumbble Comm On 22 Oct 2016 - 10:15

In the first image it is plotting the equation of $y=x^2$ on top of the plot of the equation $y=4$ and finding their intersection.

In the second image it is simply plotting the equation of $y=x^2-4$ and finding where it intersects with the $x$-axis.

Note that both correctly give the two solutions of $x=2$ and $x=-2$.