Find the roots of y=x^{2}+2x+2

y=x2+2x-3

Can solve using quadratic equation. Using the square method to obtain for the square term and x term (x+1)(x+1) = x2+2x+1

Therefore (x+1)(x+1)-4=y

To find roots equate to zero:     (x+1)(x+1)-4=0

Therefore:          (x+1)2=4

Which implies that:   x+1=+/-2

Therefore roots are x=-3 and x=1

Input these into the original equation to check and will see that these are correct.

HS
Answered by Harry S. Maths tutor

5829 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How does a hypothesis test work?


integrate (2x^4 - 4/sqrt(x) + 3)dx


Integrate lnx


Evaluate the integral between 5 and 3 for xe^x


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