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

4489 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A block of mass 5kg is at rest on a smooth horizontal table, and connected to blocks of 3kg and 4kg which are hanging by strings via pulleys on either end of the table. Find the acceleration of the system and the tension in each string.


How do I invert a 2x2 square matrix?


solve the following definite integral by decomposition into partial fractions: \int_{1}^{2}{\frac{1}{x^2+x}}dx


How would you use the following expression to approximate [(4-5x)/(1+2x)(2-x)] when x=5 (A2 pure)


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:

© 2026 by IXL Learning