+0  
 
-2
15
1
avatar+1123 

The graphs of $y=x^2$ and $x+y=0$ intersect at two points.  Find the distance between these two points.

 Aug 14, 2023
 #1
avatar+126978 
+1

x + y = 0

y = -x

Sub this into the first equation

 

-x = x^2

 

x^2 + x = 0

x ( x + 1) =  0

Set both factors to 0  and  solve for  x

x = 0    and x = -1

 

When x = 0  y = 0

When x = -1 , y = 1

 

(0,0) and (-1, 1)

 

Distance between  these  =  sqrt [ (-1)^2 + 1^2 ]  = sqrt (2)

 

 

cool cool cool

 Aug 15, 2023

6 Online Users

avatar
avatar
avatar