Find the roots of the equation - find the eccentricity of


Question 1. Find the roots of the equation x4 - 2x3 + 4x2 + 6x - 21 = 0, given that sum of two of its roots is zero.

Question 2. The Ellipse E1: x2/4 + y2/9 = 1 is inscribed in a rectangle R whose sides are parallel to the coordinate axes. Another ellipse E2 passing through the point (0 , 4) circumscribes the rectangle R. Find the eccentricity of the ellipse E2.

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Mathematics: Find the roots of the equation - find the eccentricity of
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