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

3791 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is the coefficient of x^4 in the expansion of (x+3)^7


A smooth 4g marble is held at rest on a smooth plane which is fixed at 30 degrees to a horizontal table. The marble is released from rest - what speed is the marble travelling at 5 seconds after being released? Let g = 9.8ms^2


Find the stationary points of the curve given by the following function: f(x) = x^2 + 5x + 2


Integrate 10x(x^1/2 - 2)dx


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:

© 2025 by IXL Learning