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

7877 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A particle is moving along a straight line. The displacement of the particle from O at time t seconds is s metres where s = 2t^3 – 12t^2 + 7t. Find an expression for the velocity of the particle at time t seconds.


If a spinner was spun 50 times and the probability to show the number 2 was 0.2, how many times would it show the number 2?


A curve is given by the equation y=x^3-11x^2+28x; find the coordinates of the points where the curve touches the x-axis.


How can I work out the equation of a line defined by 2 known points?


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