Find the roots of the equation - find the eccentricity of

Question

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.