Minimum in bi-quadratic!

Algebra Level 5

If ai{ a }_{ i } is positive or negative as ii even or odd respectively. If x4+a1x3+a2x2+a3x+5=0{ x }^{ 4 }+{ { a }_{ 1 } }{ x }^{ 3 }+{ a }_{ 2 }{ x }^{ 2 }+{ a }_{ 3 }x+5=0\quad has four Positive roots the them find minimum value of a1a3{ a }_{ 1 }{ a }_{ 3 }

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