If 1/(x(a-x)) is equivalent to B(1/x + 1/(a-x)), Express 'B' in terms of 'a'

1/(x(a-x)) = B(1/x + 1/(a-x)) Note: the '≡' sign (defined equivalence) can be used in place of '=' but this is not necessary to achieve full marks.Step: multiply both sides by x(a-x)1 = (x(a-x))B(1/x + 1/(a-x))Step: Multiply out brackets containing functions of x1 = B((x(a-x)/x) + (x(a-x))/(a-x))Step: Simplify new function of x1 = B((a-x)+x)1 = B*aB = 1/a

CG
Answered by Charles G. Maths tutor

3968 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you find the stationary points on a curve?


Integrate the function f(x)=lnx


integrate 5x^2 + x + 2 and find the value of c if the curve lies on the coordinates (1,3)


What is Mathematical Induction?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning