How do you solve algebraic fractions with quadratics?

First you need to remove the fractions from each side,

take the equation: (x+1)/(x+3) = (2x-1)/(3x-1)

now multiply by x+3 to give x+1 = (2x-1)(x+3)/(3x-1)

now multiply by (3x-1) to give (3x-1)(x+1)=(2x-1)(x+3)

Then expand out the brackets

3x2 +2x-1 = 2x2 +5x-3

as xappears on both sides, subtract (2x2 +5x-3) from both sides to give x2 -3x +2=0  which can now be solved to give values of x

factorise to give (x-2)(x-1)=0

therfore x= 2 or x=1

Answered by Eleanor R. Maths tutor

2715 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

equation(1) h = 3t^2 a) find h when t=5 b)find t when h=108


In 2017 the number of teachers in a school was 20. The number of teachers doubles each year. If in 2019 3/5 of the teachers are female how many male teachers are there in 2019?


4x^2+5x+2=10


The price of a pencil grows by 1%. What is the final crice if the initial price was £1?


We're here to help

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