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.

EK
Answered by Emily K. Maths tutor

8819 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A brother and sister share some pocket money together in the ratio of 4:7. The brother receives £18 less than his sister. How much pocket money do the brother and sister get each?


Express f(x) = x^2 + 5x + 9 in the form (x + a)^2 + b, stating the values of a and b.


In a sale, a bag goes on sale and the price is reduced by 20%. The sale price is £29.40. What is the original price of the bag.


One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5. There are 36 male teachers at the school. Work out the total number of teachers at the school.


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