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

4404 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the coordinate of the stationary point on the curve y = 2x^2 + 4x - 5.


Differentiate 3x^2 with respect to x


How do I calculate the eigenvalues and eigenvectors of a 2x2 matrix, and what is the point of doing this calculation?


Water is flowing into a rightcircular cone at the rate r (volume of water per unit time). The cone has radius a, altitude b and the vertex or "tip" is pointing downwards. Find the rate at which the surface is rising when the depth of the water is y.


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