find a quadratic polynomial whose one zero is 5 + √7 ????
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ONE ROOT IS 5+√7
OTHER ROOT IS 5-√7
α+β=10
αβ=(5+√7)(5-√7)
=5²-(√7)²
=25-7
=18
x²-(α+β)x+αβ=0
x²-10x+18=0
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