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

Related Maths A Level answers

All answers ▸

The curve with the equation: y=x^2 - 32sqrt(x) + 20 has a stationary point P. Find the coordinates of P.


Take the 2nd derivative of 2e^(2x) with respect to x.


Solve the simultaneous equations, 2x+y-5=0 and x^2-y^2=3


Integrate 4/x^2