Respuesta :
The standard form of the equation of the ellipse is,[tex]\frac{x^2}{7} +\frac{y^2}{14} =1[/tex]. It is obtained by the dividing complete equation by 196.
What is the ellipse's equation?
If the major axis is a units long and the minor axis is b units long, and the ellipse is centered on (0,0). The equation for that ellipse is:
[tex]\rm \frac{x^1}{a^2} +\frac{y^2}{b^2} =1 \\\\\[/tex]
The given equation is;
28x²+14y²=196
Divide the complete equation by 196;
[tex]\rm \frac{28x^2}{196} +\frac{14y^2}{196} =\frac{196}{196} \\\\ \frac{x^2}{7} +\frac{y^2}{14} =1[/tex]
Hence, the standard form of the ellipse is represented as,[tex]\frac{x^2}{7} +\frac{y^2}{14} =1[/tex]
Learn more about ellipse;
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