2 years ago

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

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