# What are the equations in standard form of the equations #9x^2+16y^2=144# and #25x^2+9y^2-18y-216=0# ?

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(In ellipses. I don't know how to convert from general form to standard form.)

(In ellipses. I don't know how to convert from general form to standard form.)

##### 1 Answer

#### Explanation:

Given:

To point an ellipse or hyperbola in standard form you must complete the square if needed, then divide by the constant on the right side:

**Equation 1:**

Reduce so there isn't a constant in the numerator:

It's horizontal because the largest denominator is on the

**Equation 2:**

Requires completing of the square. First group

Factor:

Complete the square on

Divide by the constant on the right side:

Reduce so there isn't a constant in the numerator:

It's vertical because the largest denominator is on the