Question

the equation whose roots are reciprocal of the roots of the roots of the x⁴+3x³-6x²+2x-4​

Answer 1

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• x⁴ - 5x + 4(x)

Answer 2

Answer:

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Step-by-step explanation:

Equation whose root are reciprocal of roots of x

4

+3x

3

−6x

2

+2x−4=0 by replacing x→

x

1

(

x

1

)

4

+3(

x

1

)

3

−6(

x

1

)

2

+2(

x

1

)−4=0

⇒1+3x−6x

2

+2x

3

−4x

4

=0

⇒4x

4

−2x

3

+6x

2

−3x−1=0

∴p=4,q=−2,r=6⇒q+r=4