Solve x^2+8x-5=0 using completing the square

by completing the square we write the equation as (x+b/2)^2-b/2^2+c, in this case b=8 (the coefficient of x) and c=5 so we have (x+4)^2-16-5=0, which equals (x+4)^2-21=0. Now by rearranging we get (x+4)^2=21, which goes to x+4=+or-sqrt(21). Therefore x=sgrt21 -4 or x=-sqrt21 -4

LH
Answered by Lucy H. Further Mathematics tutor

2235 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

I don't know what I am doing when I solve differential equations using the integrating factor and why does this give us the solutions it does?


Can you express 3 + 4j in polar form?


Solve this equation: x^2 + 2x + 2


Find the general solution to the differential equation d^2x/dt^2 + 5 dx/dt + 6x = 4 e^-t


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