+0  
 
0
30
1
avatar+809 

Two parabolas are the graphs of the equations $y=2x^2-10x-10$ and $y=x^2-4x+6$.. Give all points where they intersect. List the points in order of increasing $x$-coordinate, separated by semicolons.

 Dec 30, 2018
 #1
avatar+94453 
+1

Equate the "y's"

 

2x^2 - 10x - 10 = x^2 - 4x + 6   rearrange as

 

x^2 - 6x - 16  =  0        factor

 

(x - 8) ( x + 2) =  0

 

Set both factors to 0 and solve for x  and we have that  x = -2  and x = 8

 

So....when x = - 2, y = (-2)^2 - 4(-2) + 6 =  18

 

And when x = 8, y =  (8)^2 -4(8) + 6 =  38

 

So

 

(-2, 18)   ;  (8, 38)

 

 

cool cool cool

 Dec 30, 2018

28 Online Users

avatar
avatar
avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.