Factorise the equation x^2 +5x = 6

On first glance, this looks like it is going to be a quadratic equation, so let’s try and put it in the form ax2 + bx + c = 0 which we can factorize. If we subtract 6 from each side, we end up with x2 +5x - 6 = 0, which is exactly what we need. Now, to factorize this quadratic, we can use one of three main tools – factorizing by observation, completing the square and the quadratic formula. Let’s start with factorizing, and if this is not possible we can move on I think the best thing to do first is to write out all the factors of -6, as two numbers must multiply to make -6 and add to make 5 if we are going to be able to use factorization by observation. Our multiple pairs are (-1 and 6), (1 and -6), (2 and -3), and (-2 and 3). If we look at these pairs, we can see that adding -1 and 6 gives us 5 as required, therefore we can factorize this quadratic to (x-1)(x+6) = 0. We can expand this out again fully to check we have done this correctly.

Answered by Matthew J. Maths tutor

6993 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A bag contains 10 apples. Three of the apples are green and seven of the apples are red. If an apple is pulled from the bag at random, what is the probability that the apple will be green?


The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Work out the area of the triangle.


How do i solve a system of 2 equations?


Solve the simultaneous equations: 5x + 3y = 9 and 7x - 2y = 25.


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