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

2806 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the intersection coordinates of both axis with the function: f(x)=x^2-3x+4/3


Find the shortest distance between the line L: x=1+t, y=1+2t, z=1-t and the point A: (2,3,4)


Solve (3x+6)/4 - (2x-6)/5 = (x+7)/8.


The gradient of a curve is defined as Dy/dx = 3x^2 + 3x and it passes through the point (0,0), what is the equation of the curve


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