Quantcast Custom Algebra Teaser.. Answer this pls..? - XP Math - Forums
XP Math Home Sign Up FREE! | Sign In | Classroom Setup | Common Core Alignment PDF Version

Go Back   XP Math - Forums > Welcome > Off-Topic Discussion

Reply
 
Thread Tools Display Modes
Old 07-25-2007   #1
Alvin C.
Guest
 
Posts: n/a
Default Custom Algebra Teaser.. Answer this pls..?

x^2+a(a-2x)=a^2+x(x-2a)How can I get the answer? My teacher let us answer this problem but we can't, no one in the class has answered this. I just want to know the specific answer. Can you share your knowledge on us by answering the problem above? Thank You for sharing...=)
  Reply With Quote
Old 07-25-2007   #2
mathjoe
Guest
 
Posts: n/a
Default

Assume we are solving for x.x^2+a(a-2x)=a^2+x(x-2a)x^2 + a^2 - 2ax = a^2 + x^2 - 2ax0 = 0The original equation is an identity. An identity is an equation that is true for all real numbers x.Answer: x is any real number.
  Reply With Quote
Old 07-25-2007   #3
ASD
Guest
 
Posts: n/a
Default

x^2+a(a-2x)=a^2+x(x-2a)=> x^2+a^2-2ax=a^2+x^2-2ax=> x^2-x^2-2ax+2ax=0=> x(x-x+2a-2a)=0Therefore, this equation will be zero if x=0. THerefore, x=0 is a solution for this equation.
  Reply With Quote
Old 07-25-2007   #4
VeNiE
Guest
 
Posts: n/a
Default

x^2+a(a-2x)=a^2+x(x-2a)x^2 + a^2 - 2ax = a^2 + x^2 - 2axx^2 - x^2 + a^2 - a^2 -2ax + 2ax = 0x = 0, a = 0Is this the correct answer??
  Reply With Quote
Old 07-25-2007   #5
clairebear1951
Guest
 
Posts: n/a
Default

Expand both sides and getx^2 + a^2 - 2ax = a^2 + x^2 - 2axNote both sides are identical.That means it is an IDENTITY which means it is true for all values.
  Reply With Quote
Old 07-25-2007   #6
R.B.R
Guest
 
Posts: n/a
Default

If you expand both sides, you will get the same thing x^2 + a^2 - 2ax = a^2 + x^2 - 2ax.They are both the same thing. Its like saying 1 = 1.So, it won't make any difference what value of x or a you substitute.
  Reply With Quote
Reply

Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off

Forum Jump


All times are GMT -4. The time now is 12:50 AM.


Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2020, vBulletin Solutions Inc.
XP Math