Rearranging equations

  • Thread starter Bugsy23
  • Start date
  • #1
25
0

Homework Statement



I need to rearrange the following equation to find x in terms of a and b, assuming that a≠-b

Homework Equations



a(a+x)=b(b-x)


The Attempt at a Solution



So far I have multiplied out the brackets and came up with

a[tex]^{}2[/tex]+ax=b[tex]^{}2[/tex]-bx

but I don't really know where to go from there to find x in terms of a and b.Would be really grateful if someone could help. Thanks.
 

Answers and Replies

  • #2
fss
1,179
0
Try adding and subtracting terms from each side so you get each x term on the same side.
 
  • #3
763
0
you can move things over from the left to the right or vice versa i.e.

a + b = d - e
can become by moving things around:

a + b - d = -e

notice how we change the sign when things move over!

for ur question u want to get the x's on one side as the next step so move things over to get the x's together and the a's and b's together.
 
  • #4
25
0
So would this be right?:

ax-bx=a2-b2
x(a-b)=a2-b2
x=(a2-b2)/(a-b)
 
  • #5
245
0
Note ax+bx=b2-a2 and you have to correct your steps
 

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