+0  
 
0
30
3
avatar+41 

Please help! I can't figure out a solution for this problem:

 

6. Create an equation, using factored expressions, that has 53 and 22 as its only solutions.

 

Thank you in advanced for everyone's help!

 

-Red Glasses smiley

 
RedGlasses  Nov 14, 2017
Sort: 

3+0 Answers

 #1
avatar
+2

Expand the following:
(x - 22) (x - 53)

(x - 22) (x - 53) = (x) (x) + (x) (-53) + (-22) (x) + (-22) (-53):
x x - 22 x - 53 x - 22 (-53)

x x = x^2:
x^2 - 22 x - 53 x - 22 (-53)

-22 (-53) = 1166:
x^2 - 22 x - 53 x + 1166

-53 x - 22 x = -75 x:

x^2 - 75x + 1166 =0

 
Guest Nov 14, 2017
 #2
avatar+41 
+1

Thanks for the help, Guest! This sure helped a lot!

 

-Red Glasses laugh

 
RedGlasses  Nov 14, 2017
 #3
avatar+91049 
+1

It says to leave it as a factored expresssion so I think you only need to say

 

(x-53)(x-22)=0

 

and leave it as that.

 
Melody  Nov 14, 2017

12 Online Users

avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details