How do you complete a square

If you are given the equation y = x2+4x+1 First you determine what is in the squareMake sure your x2 term has no coefficientFind half the coefficient of the x termThat is your bracket term in this case - (x+2)2Then expand this bracket and determine what the numerical component isAdd or take away to get original number in this case 22 = 4. 4-3=1Therefore y = (x+2)2-3This can be used to find the minimum of the quadraticBeing (-2,-3)

Answered by Joshua R. Maths tutor

2460 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

I know the formula, but I don't understand it.


Find the possible values of x from the equation 3(x^2)+2x-4=2(x^2)+3x+8


The area of a square is 49cm^2. The perimeter of this square is equal to the circumference of a circle. Calculate the radius of the circle to 1 decimal place.


How can I solve simultaneous equations?


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