Given that (2x-1) : (x-4) = (16x+1) : (2x-1), find the possible values of x

The question tells us the ratio between two algebraic expressions is the same as the ratio between 2 other algebraic expressions. So, we can re-write the equation as (2x-1)/(x-4) = (16x+1)/(2x-1)Re-arrange and simplify to form the following quadratic 12x^2- 59x - 5 = 0Solve this quadratic through the quadratic formula (this is from a calculator paper) or factorising to get x = 1/2 or x = 5.

Answered by Pav M. Maths tutor

17001 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given a curve has the equation f'(x) = 18x^2-24x-6 and passes through the point (3,40), use integration to find f(x) giving each answer in its simplest form.


(Core 3 level) Integrate the function f(x) = 2 -cos(3x) between the bounds 0, pi/3.


Solve the simultaneous equations: ...


Using Integration by Parts, find the indefinite integral of ln(x), and hence show that the integral of ln(x) between 2 and 4 is ln(a) - b where a and b are to be found


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