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

3069 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the derivative of f(x)=x^3 sin(x)


Differentiate(dx) xy+4y-13


For which values of k does the quadratic equation 2x^2+kx+3=0 only have one unique solution?


y = x^3 ln x. Find dy/dx


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 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences