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Prove that if 2a0 ^2<15 a , all roots of...

Prove that if `2a_0 ^2<15 a ,` all roots of `x^5-a_0x^4+3a x^3+b x^2+c x+d=0` cannot be real. It is given that `a_0,a ,b ,c ,d in Rdot`

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