SOLUTION: I am trying to simplify the equation for an ellipse so that it is in the standard form of "x^2/a^2+y^2/b^2=1". The equation is 9x^2+36y^2=4. I have tried to factor the 9 out of t

Question 639804: I am trying to simplify the equation for an ellipse so that it is in the standard form of "x^2/a^2+y^2/b^2=1". The equation is 9x^2+36y^2=4. I have tried to factor the 9 out of the right side of the equation, and then dividing the entire equation by 4. Also, dividing by 4 without factoring had lead me to a dead end. What should I do to get the equation to the standard form?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
I am trying to simplify the equation for an ellipse so that it is in the standard form of "x^2/a^2+y^2/b^2=1". The equation is 9x^2+36y^2=4. I have tried to factor the 9 out of the right side of the equation, and then dividing the entire equation by 4. Also, dividing by 4 without factoring had lead me to a dead end. What should I do to get the equation to the standard form?
**
standard form of equation for an ellipse with vertical major axis and center at (0,0):

divide by 4

b^2=9/4=2.25
a^2=9
..
note:

RELATED QUESTIONS
What is the standard equation of: 4x^2 + 3y^2 + 8x - 24y + 51 = 0? I understand that... (answered by lwsshak3)

hello i have a question on the equation of an Ellipse i have the equation of... (answered by scott8148)

How to write an equation in standard form? The equation I am trying to convert is:... (answered by checkley71)

Hello, I am working on a series of questions with the equation y-3=3(x+1). I have the... (answered by Alan3354)

Put the following equation in standard form of an ellipse: {{{ y=-x^2+8x-3 }}} (answered by stanbon)

Write the equation for the hyperbola in standard form and general form. center (4,0),... (answered by MathLover1)

given the equation of an ellipse in standard form, write it in general form.... (answered by ewatrrr)

Hi, I am studying for a quiz on hyperbolas and one of the problems I am doing is this:... (answered by stanbon)

Identify the conic(cirlce, ellipse, hyperbola, ellipse. Write each of the following in... (answered by jim_thompson5910)