Show that x^2 - x +2 is positive for all values of x

(x-1/2)= (x-1/2)(x-1/2)=x2-x+1/4, add 7/4 to get x2-x+2 therefore x2-x+2 = (x-1/2)2 + 7/4

squared numbers always positive so (x-1/2)2 >= 0 therefore (x-1/2)2 + 7/4 is always positive

PM
Answered by Pearse M. Maths tutor

10960 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is the centre and radius of the circle with the equation x(x-2)+y(y+6)+4=0 ?


I did all the past papers but I still only achieved a C grade, what am I doing wrong?


Given that f(x) = 1/x - sqrt(x) + 3. Find f'(1).


Solve the equation |3x + 4| = |3x - 11|


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