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| 1. |
If alpha and beta be the zeores and polynomial 2x²-5x+8 evaluate alpha/beta+ beta/alpha |
| Answer» 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+825/4-8=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) | |