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Find the x and y intercepts of the graph of the equation: 9(square of x) + 4(square of y) = 36?

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x intercept is where y = 0, i.e 9 x2 = 36, x = + 2, -2. y intercept is where x = 0, i.e 4 y2 = 36, y = +3, -3.

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Math, Sciences and Electrical Engineering

Square of (x/a) + square of (y/b) = 1 represents the equation of an ellipse centered at origin. a, b are its radii on x and y axis respectively. Dividing the given equation by 36 and comparing the values, we can get the values of a and b from the equation as 3 and 2. x intercepts are (3,0) and (-3,0) while y intercepts are (0,2) and (0,-2).

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x intercept is 2 and y-intercept is 3.

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The intercepts of an ellipse are the lengths of semi major and semi minor axes. Try to find the lengths of semi major axis and semi minor axis. I hope you can try it. So, I am not giving the final answer.

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It means (square of x)/4 + ( square of y)/9 = 1. Hence, x intercept is 2 and y intercept is 3.

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9(square of x) + 4(square of y) = 36 can be written as: (square of x)/(square of 2) + (square of y)/( square of 3) = 1 which is the equation of an ellipse. So, its x intercepts are : (2,0) ; (-2,0). And its y intercepts are : (3,0) ; (-3,0).

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