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

8227 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5. There are 36 male teachers at the school. Work out the total number of teachers at the school.


How do I subtract one fraction from another?


Solve the quadratic equation x^2-6x+5=0


On a graph, the lines with the equations y=x^2+5x+4 and y=-3x-8 meet at two distinct points. Find the coordinates of these meeting points.


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:

© 2025 by IXL Learning