# How do you find the standard form of #9x^2 + 4y^2 - 18x + 16y = 11# and what kind of a conic is it?

##### 1 Answer

Dec 5, 2015

#### Answer:

standard form:

which is an ellipse with center

#### Explanation:

Given

By regrouping and completing the squares:

which is the standard form for an ellipse with the values given in the Answer above.

graph{9x^2+4y^2-18x+16y=11 [-6.22, 6.27, -5.113, 1.127]}