SOLUTION: make x the subject of the formula 1. x/x+a - a/x+b = 1 2. x^2/a^2 + y^2/b^2 = 1 3. a(a^2- x) = b(b^2

SOLUTION: make x the subject of the formula 1. x/x+a - a/x+b = 1 2. x^2/a^2 + y^2/b^2 = 1 3. a(a^2- x) = b(b^2 - x) 4. a/a-x = b/b+x

Question 1101236: make x the subject of the formula
1. x/x+a - a/x+b = 1
2. x^2/a^2 + y^2/b^2 = 1
3. a(a^2- x) = b(b^2 - x)
4. a/a-x = b/b+x
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
make x the subject of the formula
1.
multiply by (x+a)(x+b), cancel the denominators
x(x+b) - a(x+a) = (x+a)(x+b)
distribute, FOIL
x^2 + bx - ax - a^2 = x^2 + bx + ax + ab
combine like terms
x^2 - x^2 - ax - ax = a^2 + bx - bx + ab
-2ax = a^2 + ab

factor out a

Cancel a

:
2.
multiply equation by a^2b^2

extract the squares

:
Will finish later today, these are time consuming.
:
3.
a^3 - ax = b^3 - bx
bx - ax = b^3 - a^3
x(b-a) = b^3 - a^3
x =
:
4.
cross multiply
a(b+x) = b(a-x)
ab + ax = ab - bx
bx + ax = ab - ab
bx + ax = 0
x(b + a) = 0
x =
x = 0
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