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sweet-ann [11.9K]
2 years ago
5

Find a quadratic polynomial whose zeroes are reciprocals of the zeroes of the polynomial x²-x-6​

Mathematics
1 answer:
inna [77]2 years ago
6 0

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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