How do you complete the square?

Completing the square is often useful when solving equations! An example: x+6x-7=0. Step 1) We want to move the constant to the right hand side: x2+6x=7. Step 2) Now, add the square of the coefficient of x on to both sides: x2+6x+32=7+32 -> x2+6x+9=16. Step 3) Factorise the left hand side: (x+3)2=16. Step 4) Square root the equation and solve: x+3=+/-4  -> x=-3+/-4.

Answered by Lisa W. Maths tutor

3628 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the radius and centre of the circle given x^2+4x+y^2+2y=20


(Core 3 level) Integrate the function f(x) = 2 -cos(3x) between the bounds 0, pi/3.


How would we evaluate (1/3)^-3/2 ?


Find the integral of 4x^2 - 10x + 1/(x^(1/2)), with respect to x, in its simplest form.


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