from a quadratic whose root are 3-√7. and 3+√7
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from a quadratic whose root are 3-√7. and 3+√7
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Answer:
x² – 9x + 2
Step-by-step explanation:
α = 3 – √7
β = 3 + √7
p(x) = x² – (α + β)( x ) + (α x β)
=> x² – ( 3 – √7 + 3 + √7 )( x ) + ( 3 – √7 ) ( 3 + √7 )
=> x² – ( 3 + 3 )( x ) + ( 9 + 3√7 – 3√7 – 7 )
=> x² – ( 9 )( x ) + ( 9 – 7 )
=> x² – 9x + 2