a quadratic equation over rational coefficients whose one root is 2 cos root 2 pie/10 is
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Answer:
Correct option is
C
x
2
−4x+1=0
Given one root is tan(
12
π
).
We have tan(
12
π
)=2−
3
.
So, the other root is 2+
3
.
Now, sum of roots =2+
3
+2−
3
=4 and product of roots (2+
3
)(2−
3
)=1.
So, the quadratic equation will be x
2
−4x+1=0
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