# How do you write the standard form of the hyperbola #-2x^2+3y^2+4x-60y+268=0#?

##### 2 Answers

#### Answer:

#### Explanation:

Rearranging

Completing the squares

Dividing by 30

In standard form

#### Answer:

Please see the explanation for the process.

#### Explanation:

Add

Remove a factor of -2 from the first 3 terms and a factor of 3 from the next 3 terms:

Using the pattern,

Combine like terms:

Solve for

Substitute

Using the pattern,

Combine like terms:

Substitute

Combine the terms on the right:

Divide both sides by 30:

Write the denominators as squares: