Asked by Kenneth
Q: Convert 4x^2 + 4y^2 -8x -16y -29 = 0 into standard form.
I first started by pairing the like terms together, getting:
4x^2 -8x + 4y^2 -16y = 29
The next step, I'm a little confused. I know I need to complete the square, but I'm not sure how to fully factor out the above equation before doing so. Can someone help me getting the factored form of the above equation?
Thanks!
I first started by pairing the like terms together, getting:
4x^2 -8x + 4y^2 -16y = 29
The next step, I'm a little confused. I know I need to complete the square, but I'm not sure how to fully factor out the above equation before doing so. Can someone help me getting the factored form of the above equation?
Thanks!
Answers
Answered by
Reiny
4x^2 -8x + 4y^2 -16y = 29
4(x^2 - 2x + ...) + 4(y^2 - 4y + ... ) = 29
4(x^2 - 2x + 1) + 4(y^2 - 4y + 4) = 29 + 4 + 16
4(x-1)^2 + 4(y-2)^2 = 49
divide by 4
(x-1)^2 + (y-2)^2 = 49/4
looks like a circle with centre at (1,2) and radius 7/2
4(x^2 - 2x + ...) + 4(y^2 - 4y + ... ) = 29
4(x^2 - 2x + 1) + 4(y^2 - 4y + 4) = 29 + 4 + 16
4(x-1)^2 + 4(y-2)^2 = 49
divide by 4
(x-1)^2 + (y-2)^2 = 49/4
looks like a circle with centre at (1,2) and radius 7/2
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.