Question

Alpha= -6, beta= -11, find a+b and ab and form quadratic equation

Answer 1

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Answer 2

Given, α = - 6 and β = - 11

Now,

α + β = - 6 - 11 = - 17

αβ = ( - 6 ) ( - 11 ) = 66

The required quadratic equation is –

p ( x ) = k [ x² - ( α + β )x + αβ ]

p ( x ) = k [ x² - ( - 17 )x + 66 ]

p ( x ) = k [ x² + 17x + 66 ]

Put k = 1

p ( x ) = x² + 17x + 66