Help! How do I solve quadratic equations?

Quadratic equations contain the term x2 and they can normally be written in the format of:ax2 + bx + c = 0. You can solve these equations by using a technique called factorisation. Factorised quadratic equations take the form of (x + d)(x+e). For example: 2x2 + 10x + 12 = 0. Divide each side by 2. x2 + 5x + 6 = 0. Find 2 numbers (d and e) which multiply to make 6 and sum to make 5. 2 x 3 = 6 and 2 + 3 = 5. Write it in the form of (x + d)(x+e) = 0. (x + 2)(x + 3) = 0. If 2 things multiply to make 0, then one of them has to be 0!(x+2) = 0 or (x+3) = 0 x = -2 or x = -3

MH
Answered by Michael H. Maths tutor

2576 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

In a village the number of houses and the number of flats are in the ratio 7 : 4. The number of flats and the number of bungalows are in the ratio 8 : 5 . There are 50 bungalows in the village. How many houses are there in the village?


Find the interval for which x^2 - 7x + 10 </= 0


Renee buys 5kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250g of sweets into each bag. She sells each bag of sweets for 65p. Renee sells all the bags of sweets. Work out her percentage profit.


Make x the subject of the equation y = {2(1+x)}/(3x+1)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning