The purpose: understanding the correlation between the roots of the equation (zero points).

Let's go back the first example  y= x²-3x-10 

Is it possible to find additional points which have two origins except in case of 0 as the image- 

Let's choose any x- remember  f:R®  R

Substitute   x= 2: 

y= 2²-3*2-10

y= 4-6-10

 y=-12

If there is an additional x with an identical image it will hold the equation:  

x²-3x-10= -12

and this according to the definition of the function.

x²-3x-10+12=0

x²-3x+2=0

x₁=2

x₂=1

In order to get additional pairs with an identical image, record in the window the value of x₁ and press enter to get the value of x₂

Note the values x₁ , x₂ each time- 

alt="Your browser understands the APPLET> tag but isn't running the applet, for some reason." Your browser is completely ignoring the APPLET> tag!

Question:

What is the correlation between each pair of answers  

click here to get the answer