Find the centre coordinates, and radius of the circle with equation: x^2 + y^2 +6x -8y = 24

Firstly, rearrange the equation to group the 'x' terms together, and the 'y' terms together.x^2 + 6x + y^2 -8y = 24'Complete the square' on each of the x and y groups:(x + 3)^2 - 9 + (y - 4)^2 - 16 = 24Rearrange to standard form(x + 3)^2 + (y - 4)^2 = 49 = 7^2 Which is the equation of a circle radius 7, centre (-3, 4)

SN
Answered by Sam N. Maths tutor

4795 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

why is sin(x) squared plus cos(x) squared 1?


A curve C has equation y = 3x^4 - 8x^3 - 3. Find dy/dx and d2y/dx2. Verify C has a stationary point at x = 2. Determine the nature of this stationary point, giving a reason for the answer.


Find the first differential with respect to x of y=tan(x)


Differentiate 8x^3+4x^2+2


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning