The quadratic equation whose roots are 7 + √3 and 7 - √3 is
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The quadratic equation whose roots are 7 + √3 and 7 - √3 is
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Verified answer
Hi there !!
α = 7 +√3
β = 7 - √3
Sum of zeros = α + β = 7 +√3 + 7 -√3
= 14
Product of zeros = αβ = (7 +√3)(7 -√3)
= 7² - 3 = 46
Quadratic equation :-
x² - (α + β)x + αβ
= x² - 14x + 46 ----> required quadratic equation
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