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

5912 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Define the derivative of a function f(x) and use this to calculate the derivative of f(x)=x^n for positive integer n.


Find the positive value of x such that log (x) 64 = 2


Find the derivative, dy/dx, of y = 8xcos(3x).


A particle of mass 0.8 kg moving at 4 m/s rebounds of a wall with coefficient of restitution 0.3. How much Kinetic energy is lost?


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