The quadratic polynomial whose zeroes are 4+√5 √and 4-√5 is
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4+√5, 4-√5 are root of f(x)
(x-4-√5), (x-4+√5) are factors of f(x)
so
(x-4-√5)(x-4+√5) is also factors of f(x)
(x-4-√5)(x-4+√5)=0
(x-4) ²-(√5)²=0
x²-8x+16-5=0
x²-8x+11=0
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