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The quadratic equation with real coeffic...

The quadratic equation with real coefficients has one root ``2i` s

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Statement -1 : There is just one quadratic equation with real coefficient one of whose roots is 1/(sqrt2 +1) and Statement -2 : In a quadratic equation with rational coefficients the irrational roots are in conjugate pairs.

Statement -1 : There is just one quadratic equation with real coefficient one of whose roots is 1/(sqrt2 +1) and Statement -2 : In a quadratic equation with rational coefficients the irrational roots are in conjugate pairs.

Find the quadratic equation with real coefficients which has 2+i as a root (i=sqrt-1) .