My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
March 29th, 2019, 12:14 AM   #1
Newbie
 
Joined: Mar 2019
From: Arizona

Posts: 2
Thanks: 0

Find all values for x, y

We know that a^2,b^2,c^2 are different squares.
We've got these 3 equations
x+y=a^2
2x+y=b^2
x+2y=c^2
Find all x,y

Last edited by skipjack; March 29th, 2019 at 02:15 AM.
Smartalec is offline  
 
March 29th, 2019, 02:14 AM   #2
Global Moderator
 
Joined: Dec 2006

Posts: 20,484
Thanks: 2041

What do you mean by "squares"?
skipjack is offline  
March 29th, 2019, 03:32 AM   #3
Newbie
 
Joined: Mar 2019
From: Arizona

Posts: 2
Thanks: 0

Squares mean for example a^2 is square
Smartalec is offline  
March 29th, 2019, 04:19 AM   #4
Global Moderator
 
Joined: Dec 2006

Posts: 20,484
Thanks: 2041

Any number can be written as a² or b² or c².

For simplicity, let's take a = 0, x = b² and y = -b².
skipjack is offline  
March 29th, 2019, 05:08 AM   #5
Senior Member
 
Joined: Dec 2015
From: iPhone

Posts: 486
Thanks: 75

$\displaystyle x+y=\frac{a^2 + b^2 +c^2 }{4}$ .
idontknow is offline  
March 29th, 2019, 05:23 AM   #6
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,887
Thanks: 1506

$y = c^2-a^2$

$x = b^2-a^2$

ok, now what?
skeeter is offline  
March 31st, 2019, 07:54 AM   #7
Member
 
Joined: Aug 2018
From: România

Posts: 33
Thanks: 2

Quote:
Originally Posted by Smartalec View Post
We know that a^2,b^2,c^2 are different squares.
We've got these 3 equations
x+y=a^2
2x+y=b^2
x+2y=c^2
Find all x,y
Hello,

$\displaystyle x=b^2-a^2$ , $\displaystyle y=2a^2-b^2$ and $\displaystyle 3a^2=b^2+c^2$.

All the best,

Integrator

Last edited by Integrator; March 31st, 2019 at 07:57 AM.
Integrator is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
find, values



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
$k2^x+2^x=8$, find the possible values of $k$ jiasyuen Algebra 1 July 8th, 2015 05:13 AM
Find the values of a brhum Algebra 1 June 6th, 2014 09:54 AM
please find the sum of all the possible values of n Albert.Teng Algebra 4 May 23rd, 2013 08:11 AM
Find All Values HellBunny Algebra 26 May 2nd, 2012 09:40 AM
find values of ? that correspond to the ? values? space55 Calculus 0 October 10th, 2010 03:23 PM





Copyright © 2019 My Math Forum. All rights reserved.