Respuesta :
The standard form of the equation -9x^2+25y^2-100y-125=0 in standard form is; (y -2)²/3² - x²/5² = 1.
What is the standard form of the equation?
According to the task content;
- The equation given is; -9x^2+25y^2-100y-125=0.
By dividing the equation through by 225, the resulting equation is;
- y²/9 - 4y/9 - x² -5/9 = 0
- 1/9 (y-2)² - 4/9 - x²/25 -5/9 = 0.
- 1/9 (y-2)² - x²/25 = 1.
Hence, the standard form of the equation is;
- (y -2)²/3² - x²/5² = 1.
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