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if the zeros of the polynomial …

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if the zeros of the polynomial x cube minus 3 X square + X + 1 hour a upon r a and a r then the value of a is
  • 1 answers

Gaurav Seth 5 years, 4 months ago

Given that cubic polynomial,

x³-3x²+x+1

then,

(a-b)+a+(a+b)=-b/a

3a=-(-3)/1

3a=3

a=3/3

a=1

 

Again,

(a-b)*a*(a+b)=-d/a

a(a²-b²)=-1/1

1(1²-b²=-1

1-b²=-1

-b²=-1-1

-b²=-2

b±2

b=±√2

 

that

 

a=1

b=√2

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