find a quadratic polynomial with zeros 3 + √2 and 3 - √2
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polynomial is:.
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let,alpha=3+√2,beta=3-√2
alpha+beta=3+3+√2-√2
=6.
alpha×beta=(3)^2-(√2)^2
=9-2
=7.
we know that ,
the required quadratic polynomials
x^2-(alpha +beta)x+alpha x beta=0
x^2-6x+7=0 is the polynomial .
alpha+beta=3+3+√2-√2
=6.
alpha×beta=(3)^2-(√2)^2
=9-2
=7.
we know that ,
the required quadratic polynomials
x^2-(alpha +beta)x+alpha x beta=0
x^2-6x+7=0 is the polynomial .
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