Construct a quadratic equations, if its roots are – 2+√5/2, 2-√5/2​

Question

Construct a quadratic equations, if its roots are –
2+√5/2, 2-√5/2​

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Cora 3 weeks 2021-11-07T09:46:51+00:00 1 Answer 0 views 0

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    2021-11-07T09:48:43+00:00

    Answer:

    x^2-4x-46=0

    Step-by-step explanation:

    Sum of the roots=2+5√2+2-5√2=4

    Product of the roots=(2+5√2)(2-5√2) =2^2-(5√2)^2

    =4-(25×2)

    =4-50

    =-46

    Quadratic equation:

    X^2-(sum of the roots)x+(product of the roots)=0

    x^2-4x-46=0

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