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प्रश्न
Find a polynomial equation of minimum degree with rational coefficients, having `2 + sqrt(3)"i"` as a root
उत्तर
Let the root be `2 + sqrt(3)"i"`
Another root be `2 - sqrt(3)"i"`
Sum of the roots =`2 + "i" sqrt(3) + 2 - "i" sqrt(3)` = 4
Product of the roots = `(2 + "i" sqrt(3))(2 - "i" sqrt(3))`
= `2^2 + sqrt(3)^2`
= 4 + 3
= 7
x2 – (SR)x + PR = 0
x2 – 4x + 7 = 0
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Choose the correct alternative:
According to the rational root theorem, which number is not possible rational root of 4x7 + 2x7 – 10x3 – 5?
