Quadratic Dilemma

Algebra Level 3

x210+28x=7x540x2 \frac{x^2}{10}+\frac{28}{x}=\frac{7x}{5}-\frac{40}{x^2}

The equation above has 4 real roots x1x_1, x2x_2, x3x_3, and x4x_4 such that x1<x2<x3<x4x_1<x_2<x_3<x_4. Find the value of x1x3+x2x4x_1x_3+x_2x_4.

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