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If alpha and beta be the zeores and polynomial 2x²-5x+8 evaluate alpha/beta+ beta/alpha

Posted by Sumit Rathi 4 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Kunwar Dev Singh 4 years, 8 months ago

α +β= (-b/a),α+β=5/2, αβ=c/a,αβ=8/2=4, (α+β)^2 = α^2+β^2+2αβ,(5/2)^2=α^2+β^2+8 25/4-8=α^2+β^2,α^2+β^2=(-7/4) Then, α/β+β/α = α^2+β^2/αβ=(-7/4)/4=(-7/16)

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CBSE > Class 10 > Mathematics