Can someone please help me with this,
I am suppose to state which type of conic section is represented by each equation step by step if its possible
1. x^2-6x+y=8
2. 3x^2+5y^2+6x-10y=16
3. 2x^2+8x=2y^2-y+10
4. 3x^2+x-y^2+y=12
5. x^2+4y^2=8
Can someone please help me with this,
I am suppose to state which type of conic section is represented by each equation step by step if its possible
1. x^2-6x+y=8
2. 3x^2+5y^2+6x-10y=16
3. 2x^2+8x=2y^2-y+10
4. 3x^2+x-y^2+y=12
5. x^2+4y^2=8
Hello,
rearrange your equations until you can determine the type of conic. All of them have their axes parallel to the coordinate axes so completing the square will do:
to #1:
That's a parabola opening down.
to #2:
. Now divide by 24 and you'll get:
That's the equation of an ellipse.
The ##3 to 5 should be done similary.(H, H, E)
Hi,
I was quite sure that you could do the last problems using the way I demonstrated to you, but .... I'll start the problems and I'll leave the final brush up to you:
to #3:
. Simplify and you should come out with a hyperbola
to #4:
Simplify. It's a hyperbola too.
to #5:
Divide by 8. Then you get the equation of an ellipse.
Hello, xterminal01!
If we are to identity the type of conic only , there is an "eyeball" method.State which type of conic section is represented by each equation.
First, get all the variables on one side of the equation.
. . (As we did in #3.)
If it has either or , but not both, it is a parabola. .(#1)
If and have the same coefficient, it is a circle. .(None listed)
If and have the same sign, it is an ellipse. .(#2 and 5)
If and have opposite signs, it is a hyperbola. .(#3 and 4)