if one root of the quadratic equation X square - 4 x + 1 is equal to zero is 2 + root 3 then the other root is
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is the root of the given quadratic equation. Thus,
(1)
2
+p(1)+3=0
p+4=0
p=−4
Thus, the equation becomes x
2
−4x+3=0
x
2
−x−3x+3=0
x(x−1)−3(x−1)=0
(x−1)(x−3)=0
x=1,3
Hence,
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