Question

find a quadratic polynomial whose sum and product are -3/2 and 1/√3​

Answer 1

Answer:

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Step-by-step explanation:

Answer:

General quadratic polynomial equation is

\begin{gathered}{x}^{2} - ( \alpha + \beta )x + \alpha \beta = 0 \\ \\ {x}^{2} - ( \sqrt{2} + 1)x + \frac{1}{ \sqrt{2} + 1 } = 0 \\ \\ {x}^{2} - ( \sqrt{2} + 1)x + \frac{1}{ \sqrt{2} + 1 } \times \frac{ \sqrt{2} - 1 }{ \sqrt{2} - 1} = 0 \\ \\\red{\boxed{\green{ {x}^{2} - ( \sqrt{2} + 1)x + ({ \sqrt{2} - 1 } ) = 0}}}\end{gathered}

x

2

−(α+β)x+αβ=0

x

2

−(

2

+1)x+

2

+1

1

=0

x

2

−(

2

+1)x+

2

+1

1

×

2

−1

2

−1

=0

x

2

−(

2

+1)x+(

2

−1)=0