# How do you find the standard form of #y^2 - 5x^2 + 20x = 50# and what kind of a conic is it?

##### 1 Answer

Mar 26, 2016

Hyperbola

#### Explanation:

From the given equation

We complete the square

We return the 5 back inside the grouping symbol

transpose now all terms with variables to the left of the equation

Divide both sides of the equation by 30 to make the right side 1

We can write this in a manner similar to

With asymptotes

graph{(y^2/30-(x-2)^2/6-1)=0[-40,40,-20,20]}

God bless...I hope the explanation is useful.