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

Answered by Charles G. Maths tutor

3351 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Using Pythagoras' theorem, show that sin^2(x)+cos^2(x)=1 for all x.


Determine the integral: ∫x^(3/4)dx


Given that 2log2(x+15) -log2(x) = 6, show that x^2-34x+225=0


With log base 4, solve log(2x+3) + log(2x+15) = 1 + log(14x+5)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences