Reduce the equation 36z²-4y²+9x²=0 , to its canonical form, and identify the surface:

1. Given equation: 36z^2 - 4y^2 + 9x^2 = 0
2. Rearrange for easier manipulation: 9x^2 - 4y^2 + 36z^2 = 0
3. Divide each term by 36 to reduce the equation: \frac{9x^2}{36} - \frac{4y^2}{36} + \frac{36z^2}{36} = 0
4. Simplify the fractions: \frac{x^2}{4} - \frac{y^2}{9} + z^2 = 0
5. Rearrange to fit the standard form: \frac{3x^2}{4} + y^2 - 9z^2 = 0
6. The surface is a hyperboloid of one sheet.

Answer: \frac{3x^2}{4} + y^2 - 9z^2 = 0