The root of the quadratic equation 2x^2+5x-8=0 are α and β. Find a quadratic equation whose areα/βandβ/α. （詳盡解釋，謝謝）?
回答 (1)
2017-01-15 8:22 am
✔ 最佳答案
Solα+β=－5/2
αβ=－8/2=－
α/β+β/α
=(α^2+β^2)/(αβ)
=(25/4+8)/(－4)
=－25/16－2
=－57/16
x^2－(－57/16)x+1=0
16x^2+57x+16=0
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