Question

if alpha and beta are zeros of 4x2 -5x+1 find polynomial whose zeros are alpha square/beta and beta square/alpha​

Answer 1

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Asked on December 26, 2019 by

Dheerendra Priyadarsini

If α is a root of the equation 4x

2

+2x−1=0, then other root of the equation is

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ANSWER

4x

2

+2x−1=0

x=

2(4)

−2±

(2)

2

−4(4)(−1)

=

4

−1±

5

4

5

−1

=cos(72

o

)−

4

(

5

+1)

=−cos36

−cos36=cos(36+180)=cos(216)

o

=cos(3.72

o

)

cos3x=4cos

3

x−3cosx

If one root cosx=α then

other root will be 4α

3

−3α.