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