Solve x^2+6x+1=0 by completing the square

x2+6x+5=0 First of all half the x coefficient and write (x+6/2)2 the take away the (6/2)2 and add on the 5
(x+3)2-9+5=0
(x+3)2-4=0 Simplify the expression
(x+3)2=4 Move 4 to the other side of the equation so you can square root both sides
x+3=+-2 Take the square root of both sides
x=-5, x=-1 Take 3 away from both sides to find the 2 values of x that solve the equation

BS
Answered by Ben S. Maths tutor

9200 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

what does a value shared in the ratio 2:3 mean?


Perimeter of isoceles triangle is 24cm. Sides 'x' = x + 3, side 'y' = x + 2, calculate the area


Write 32 X 8^(2x) as a power of 2 in terms of x.


Solve the following set of simultaneous equations: 3x + y = 11, 2x + y = 8


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