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f.4 a math 超急!

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發問:

if alpha and bate are the root of the equation ax^2 + bx + c = 0,find the quadratic equations whose roots are given below (a) alpha/bate , bate/alpha (b)alpha - 2bate , bate - 2alpha

最佳解答:

alpha+bate=-b/a , alpha*bate=c/a a) alpha/bate + bate/alpha = (alpha^2+bate^2)/bate*alpha =[(alpha+bate)^2-4bate*alpha]/bate*alpha =b/(c*a)-4 alpha/bate * bate/alpha =1 the quadratic equation is x^2-[b/(c*a)-4]x+1=0 => c*a*x^2-(b-4*a*c)x-a*c=0 do the b part yourself la!!!

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