What is the centre and radius of the circle x^2+y^2-6x+4y=-4

First make left =0x2+y2-6x+4y+4=0Second put same terms together(x2-6x)+(y2+4y)+4=0Complete the Square (do a square (X+b)2 that gives you you x2 and x terms, repeat with y) these give you the centre values(x-3)2=x2-6x+9(y+2)2=y2+4y+4Put in your completed squares minus the constant value as you only want the x2 and x term(x-3)2-9+ (y+2)2-4+4=0Rearrange to get the radius (put constants on right)(x-3)2+ (y+2)2=9Therefore centre (3,-2) radius = sqrt(9)=3

FC
Answered by Flik C. Maths tutor

2829 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the inequality (9x+5)/12 > (4x+1)/3


If y=(a^(Sinx)) where a and k are given constants, find dy/dx in terms of a and x


Rationalise the surd: 2/root(x)


Differentiate with respect to x: y = ln(x^2+4*x+2).


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences