Solve (4-2x)/(x+1)=x

To solve this equation, we need to collect all of the x^2 terms and the x terms together. To do this we should start by getting rid of the fraction on the left-hand side by multiplying both sides by the denominator (x+1). This gives 4-2x = x(x+1). We then need to get rid of the bracket by expanding it, leaving us with 4-2x = x^2 + x. We then need to collect like terms together. After this is done we can rearrange the equation into the quadratic equation x^2 + 3x - 4 = 0.

Next we need to solve this equation to find all of the possible values of x. Two ways of doing this are either by using the quadratic formula or factorising it into two brackets multiplied together. If we choose to facotrise, we get (x+4)(x-1) which expands to give x^2 + 3x - 4. As the equation is equal to 0, the two possible values of x which make the equation true are x=1 and x=-4.

Answered by Emily K. Maths tutor

8703 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

OCR, 2016, Higher Maths: Rationalise the denominator 1/(1+sqrt(3))


How do you complete the square to answer quadratic equations?


simplify 4p^3 x 3p^4


h^2=25. solve this quadratic equation to find h.


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