To calculate: The equation 100y^{2} + 4x=x^{2} + 104 in one of standard forms of the conic sections and identify the conic section.

usagirl007A 2021-01-15 Answered

To calculate: The equation 100y2 + 4x=x2 + 104 in one of standard forms of the conic sections and identify the conic section.

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

timbalemX
Answered 2021-01-16 Author has 108 answers
Step 1Formula: The general equation of the hyperbola is x2a2  y2b2=1 where coordinate of the focus (± c, 0) and c2=a2 + b2Step 2Calculation:Consider the equation of the conic sections100y2 + 4x=x2 + 104That is100y2  x2 + 4x=104
100y2  (x2  4x)=104
100y2  (x2  4x + 4)=104  4
100y2  (x  2)2=100Or,y21  (x  2)2102=1Therfore the standard form of the conic section isy21  (x  2)2102=1And since, general equation of the hyperbola is x2a2  y2b2=1, hence, it's a hyperbola.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-08-09
To calculate: The simplified form of the expression , 81511
asked 2021-08-06
Evaluate each expression.
P(14,0)
asked 2021-01-24
The polar equation of the conic with the given eccentricity and directrix and focus at origin: r=41 + cosθ
asked 2020-11-24

Decide if the equation defines an ellipse, a hyperbola, a parabola, or no conic section at all.
(a)4x29y2=12(b)4x+9y2=0
(c)4y2+9x2=12(d)4x3+9y3=12

asked 2021-08-12
Graph the lines and conic sections r=1(1+cosθ)
asked 2022-04-22
Formula for analytical finding ellipse and circle intersection points if exist
I need a formula that will give me all points of random ellipse and circle intersection (ok, not fully random, the center of circle is laying on ellipse curve)
I need step by step solution (algorithm how to find it) if this is possible.
asked 2022-04-13
Is there a parametrization of a hyperbola x2y2=1 by functions x(t) and y(t) both birational?
Consider the hyperbola x2y2=1. I am aware of some parametrizations like:
1. (x(t),y(t))=(t2+12t,t212t)
2. (x(t),y(t))=(t2+1t21,2tt21)
3. (x(t),y(t))=(cosht,sinht)
4. (x(t),y(t))=(sec(t),tan(t))
The first and the second are by rational functions x(t) and y(t). But the functions are not birational(i.e. with rational inverse of each).
Is there a parametrization where:
- x(t) is rational with inverse also rational, and
- y(t) is rational with inverse also rational?
Is possible, to find a parametrization where both are rational and at least one of the has inverse rational?