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Equations and Inequalities Test - 5
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Equations and Inequalities Test - 5
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  • Question 1/10
    4 / -1
    If α and β are the roots of χ2 - 2χ + 4 = 0, then thevalue of α6 + β6 is
    Solutions

  • Question 2/10
    4 / -1
    If α ,β and γ are the roots of χ3 + 4χ + 1 = 0, then the equation, whose roots are

    Solutions

  • Question 3/10
    4 / -1
    The number of real solutions of the equation | x |2 – 3 | x | + 2 = 0 is
    Solutions

  • Question 4/10
    4 / -1
    If α ,β and γ are such that α + β + γ = 2, α2 + β2 + γ2 = 6, α3 + β3 + γ3 = 8 then α4 + β4 + γ4 is equal to
    Solutions

  • Question 5/10
    4 / -1
    Let the two numbers have arithmetic mean 9 and geometric mean 4. Then, these numbers are the roots of the quadratic equation
    Solutions

  • Question 6/10
    4 / -1
    If α and β are the roots of the equations χ2 - (1 + n2 )χ+ 1/2(1 + n2 + n4) = 0, then α2 + β2 is equal to
    Solutions

  • Question 7/10
    4 / -1
    If α and β are the roots of χ2 - 2χ cos ∅ + 1 = 0, then the equation, whose roots are αn + βn
    Solutions

  • Question 8/10
    4 / -1
    If α, β and γ are the roots of the equation χ3 - 8 χ + 8 = 0, then ∑a2 and ∑ 1/αβ are respectively
    Solutions

  • Question 9/10
    4 / -1
    If α and β are the roots of the equation aχ2 + bχ + c = 0, αβ = 3, and a, b, c are in AP, then α + β is equal to
    Solutions

  • Question 10/10
    4 / -1
    If α and β are the roots of the equation χ2 + aχ + b = 0, then

    Solutions

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