Form a quadratic polynomial one of whose zero is√5 and the product of the zeroes is-2√5.
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Answerx square- alpha+beta + alphabeta == x square-√5 +2√5
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one zero is √5
other zero would be ( product of zeroes)/√5
= -2√5/√5 = -2
So quadratic polynomial is
X^2 - ( sum of zeroes)x + product of zeroes
x^2 - ( -2 +√5) x -2√5
other zero would be ( product of zeroes)/√5
= -2√5/√5 = -2
So quadratic polynomial is
X^2 - ( sum of zeroes)x + product of zeroes
x^2 - ( -2 +√5) x -2√5
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