Find all values of x such that √4x^2-\√x^2=6.
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Answer:
Step-by-step explanation:
For ellipses, the length of the major axis is represents as:
Major axis =
where is called the semi-major axis.
In this case since the major axis is equal to 10 units:
solving for the semi-major axis :
and also the minor axis of an ellipse is represented as:
Minor axis =
where is called the semi-minor axis.
Since the minor axis has a length of 8 units:
solving for b:
Now we can use the equation for an ellipse centered at the origin (0,0):
and substituting the values for and
:
and finall we simplify the expression to get the equation of the ellipse: