xtrimmortal28 xtrimmortal28
  • 16-07-2022
  • Mathematics
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Find a quadratic polynomial whose zeroes are reciprocals of the zeroes of the polynomial x²-x-6​

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Аноним Аноним
  • 17-07-2022

Zeros of this function

  • x²-x-6=0
  • x²-3x+2x-6=0
  • x(x-3)+2(x-3)=0
  • (x+2)(x-3)=0
  • x={-2,3}

ZEros of reciprocal function

  • x={-1/2,1/3}

The equation

  • x²-(-1/2+1/3)x-(1/2)(1/3)=0
  • x²-1/6x-1/6=0
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