SOLUTION: Given 9 x�-4y�+18x+56y-223=0 Name the conic section, and how would you know?

Question 752196: Given 9 x�-4y�+18x+56y-223=0
Name the conic section, and how would you know?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Given 9 x�-4y�+18x+56y-223=0
Name the conic section, and how would you know?
***
9x�-4y�+18x+56y-223=0
complete the square
9x�+18x-4y�+56y-223=0
9(x�+2x+1)-4(y�+14y+49)=223+9-196
9(x+1)^2-4(y+7)^2=36
(x+1)^2/4-(y+7)^2/9=1
This conic is a hyperbola with horizontal transverse axis with center at (-1,-7)
Its standard form of equation: , (h,k)=(x,y) coordinates of center

RELATED QUESTIONS
Write the following equation in standard form, then identify the type of conic 9x^2 -... (answered by stanbon)

Write the following in standard form and name the conic section. 1. x^2+6x-3y+15=0 2.... (answered by stanbon)

How do I identify the equation (name the conic section), and then convert the equation to (answered by lwsshak3)

Identify the conic section. If it is an ellipse or a hyperbola, give the center and... (answered by solver91311,lwsshak3)

Graph the conic section... (answered by Alan3354,josgarithmetic)

Given the standard equation (y-2)^2=16(x+4) determine which conic section it represents,... (answered by fractalier)

Classify the conic section and explain how you know. y2 = x2 - 5x + 6 =========== (answered by Alan3354)

20. Classify the conic section of the equation 9x^2 - 3 = 18x + 4y. A hyperbola B... (answered by jim_thompson5910)

Sketch and identify the given conic 12 x^2 � 3y^2 � 18x - 3y � 10 =... (answered by jim_thompson5910)