How do i solve quadratic equations?

Quadratic equations have a variable usually the letter x (but it could be any letter or symbol in theory).The value of x is unknown but you can work it out after following a few simple steps. Here is an example of a quadratic equation:x2+ 5x+10= 4 1) First we need to set the equation equal to 0 so we subtract 4 from both sides of the equals sign x2+5x+6=02) Now we can factorise the equation. This means splitting the equation into brackets which are factor pairs.(x + 2 ) (x + 3 ) = 03) In order for the whole equations to equal 0 either (x + 2) must equal 0 or (x + 3) must equal 0. This is because any number multiplied by 0 will always equal 0.Therefore:x + 2= 0 or x + 3= 0X = -2 or -3

CH
Answered by Charlotte H. Maths tutor

2600 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations to find x and y. 4X=8Y+24; 7Y=23-2X


Find max point of y=-x^2-5x-10


How to solve a quadratic by factorisation?


What is algebra used for?


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