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-4x2 + 9y2 + 16x - 18y +29 = 0 (I hope this is what you meant)
9y2 - 18y - (4x2 -16x) +29 = 0 (group together the x's and y's, and make the x2 term positive.
9(y2 - 2y) - 4(x2 - 4x) +29 = 0 (remove common factors)
9(y - 1)2 - 1 - 4(x - 2)2 - 4 + 29 = 0 (complete the squares)
9(y - 1)2 - 4(x - 2)2 = -25 (move constants to right-hand side)
[(y - 1)2] - 4[(x - 2)2]/9 = -25/9 (divide by coefficient in front of x or y bracket, in this case 9)
[(y - 1)2]/4 - [(x - 2)2]/9 = -25/36 (divide by coefficient in front of other bracket, in this case 4)
As you can see, we now have our equation in standard form. Our center points satisfy [(x - 2 = 0) , (y - 1 = 0)], thus our center is (2,1).
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What conic section does the equation x2 4y2 6x 8y plus 1 equals 0 represent?
hyperbola
Find the center and radius of x2 plus y2 equals 49?
Center is (0, 0) . . . the origin.Radius is 7.
Is the center of the circle given by the equation x plus 2 2 plus y - 52 equals 25?
At the center, (x, y) = (-2, 5)
What is the center of the circle given by the equation x plus 2 2 plus y - 5 2 equals 25?
At the center, (x, y) = (-2, 5)
Is y2-5y plus 2x-x2-120 equals 0 a circle or another conic?
This not a circle, both the squared terms must have the same coefficients if it might be a circle. Different signs indicate a hyperbola.
What 2xy-3y plus 1 equals 0?
It's an hyperbola equation.
What conic section does the equation x2 4y2 6x 8y plus 1 equals 0 represent?
hyperbola
Is y2-5y plus 2x-x2-120 equals 0 a circle or something else?
y2 - 5y + 2x - x2 - 120 is not a circle. It is a hyperbola rotated through 90 degrees.
What is the center of a circle for the equation 3x2 plus 3y2 - 30x plus 27 equals 0?
56
Find the center and radius of x2 plus y2 equals 49?
Center is (0, 0) . . . the origin.Radius is 7.
Is the center of the circle given by the equation x plus 2 2 plus y - 52 equals 25?
At the center, (x, y) = (-2, 5)
Is the center of the circle given by the equation x plus 2 2 plus y - 5 2 equals 25?
At the center, (x, y) = (-2, 5)
What is the center of the circle given by the equation x plus 2 2 plus y - 5 2 equals 25?
At the center, (x, y) = (-2, 5)
Is y2-5y plus 2x-x2-120 equals 0 a circle or another conic?
This not a circle, both the squared terms must have the same coefficients if it might be a circle. Different signs indicate a hyperbola.
Where is the center of the circle given by the equation x plus 4 squared plus y plus 6 squared equals 49?
(-4,-6)
Where is the center of the circle given by the equation x plus 7 2 plus y - 5 2 equals 16?
(-7,5)
Where is the center of the circle given by the equation x plus 4 2 plus y - 3 2 equals 4?
(-4,3)
