SOLUTION: Find x in terms of a and b in {{{a^2b/x^2 +(1+b/x )a =2b+a^2/x }}}

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find x in terms of a and b in {{{a^2b/x^2 +(1+b/x )a =2b+a^2/x }}}      Log On


   

Question 1126758: Find x in terms of a and b in a%5E2b%2Fx%5E2+%2B%281%2Bb%2Fx+%29a+=2b%2Ba%5E2%2Fx+
Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E2b%2Fx%5E2+%2B%281%2Bb%2Fx+%29a+=2b%2Ba%5E2%2Fx+

a%5E2b%2Fx%5E2+-a%5E2%2Fx%2Bab%2Fx++=2b-a+


%28%28a%5E2b-a%5E2x%2Babx%29%2Fx%5E2%29=+2b-a

%28%28a%5E2b-a%5E2x%2Babx%29%2F%282b-a%29%29=+x2


%28%28a%5E2b%2F%282b-a%29%29-%28%28a%5E2x-abx%29%2F%282b-a%29%29%29=+x2



x%5E2-%28%28a%5E2x-abx%29%2F%282b-a%29%29%29+a%5E2b%2F%282b-a%29=0
This is in quadratic form

x%5E2-%28%28a%5E2-ab%29x%2F%282b-a%29%29%29+a%5E2b%2F%282b-a%29=0
formula method



Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!
Find x in terms of a and b in a%5E2b%2Fx%5E2+%2B%281%2Bb%2Fx+%29a+=2b%2Ba%5E2%2Fx+

                          
                      matrix%281%2C3%2C+a%5E2b+%2B+x%28ax+%2B+ab%29+-+x%28a%5E2%29%2C+%22=%22%2C+x%5E2%282b%29%29 ----- Multiplying by LCD, x2
                
This is REAL messy, but it's now in quadratic equation form, and with: , you can use the quadratic
equation formula to determine the 2 expressions for x, in terms of a and b. Good LUCK!!!