Given that \(\displaystyle\alpha,\beta\) are the roots of

ezpimpin6988ok1n

ezpimpin6988ok1n

Answered question

2022-03-24

Given that α,β are the roots of x2+bx+c=0 and γ,δ are the roots of x2+b1x+c1=0 such that
γ<α<δ<β

Answer & Explanation

Endstufe5qa2

Endstufe5qa2

Beginner2022-03-25Added 7 answers

Step 1
Use numerical values 1<2<3<4 to rule out B, C, and D.
To prove A, just convert all expressions as polynomials in α, β,γ,δ.
Taking difference and factoring yields the final result. More precisely it boils down to
(αγ)(δα)(βγ)(βδ)>0

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