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If alpha and beta are the roots of the ...

If `alpha and beta` are the roots of the quadratic equation `x^(2) + sqrt(2) x + 3=0 ` form a quadratic equation with roots`(1)/(alpha) and (1)/(beta)`

Answer

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Explore conceptually related problems

If alpha and beta are the roots of the quadratic equation x^(2) + sqrt(2x) + 3 = 0 . Form a quadratic polynomial with zeros (1)/(alpha), (1)/(beta) .

If alpha and beta are the roots of the quadratic equation x^(2)+sqrt(2)x+3=0 , form a quadratic polynomial with zeroes 1/(alpha),1/(beta) .

Knowledge Check

  • The quadratic equation whose roots are alpha and beta is

    A
    `(x-alpha)(x - beta)=0`
    B
    `(x-a)(x+beta)=0`
    C
    `alpha + beta - b/a`
    D
    `alpha beta = (-c)/a`

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