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.

LW
Answered by Lisa W. Maths tutor

3857 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

If f(x) = x^2 - 3x + 2, find f'(x) and f''(x)


For y=x/(x+4)^0.5, solve dy/dx


How do I implicitly differentiate and why does it work? (Assuming understanding of differentiation)


OCR M2 A level maths June 2015 question 8


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences