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Form the quadratic equations whose roots...

Form the quadratic equations whose roots are 3 and 5.

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The correct Answer is:
` x^(2) - 8x+ 15=0`
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Knowledge Check

  • The quadratic equations whose roots are 1 and -1 is:

    A
    ` ax^(2) - x- 1=0`
    B
    ` ax^(2) - 1 =0 `
    C
    ` x^(2)=1`
    D
    ` x^(2) +1=0 `

  • The quadratic equation whose roots are A.M and H . M between the roots of the equation a x^(2)+b x+c=0 is

    A
    1: `a b x^(2)+(b^(2)+4 a c) x+b c=0`
    B
    2: `2 a b x^(2)+(b^(2)+4 a c) x+2 b c=0`
    C
    3: `2 a b x^(2)+(b^(2)+4 a c) x+b c=0`
    D
    4: `a b x^(2)+2(b^(2)+4 a c) x+b c=0`

  • The quadratic equation whose roots are (3+-sqrt(5)) is :

    A
    ` x^(2) - 6x +4=0 `
    B
    ` x^(2) - 3x+ 5=0`
    C
    ` x^(2) +3x -5=0`
    D
    ` x^(2) +6x +4=0 `

    • Similar Questions

    Explore conceptually related problems

    If x_(1) and x_(2) are the arithmetic and harmonic means of the roots of the equation ax^(2)+bx+c=0 , the quadratic equation whose roots are x_(1) and x_(2) is

    F a=cos(2pi//7)+isin(2pi//7) , then find the quadratic equation whose roots are alpha=a+a^2+a^4a n dbeta=a^3+a^5+a^6 .

    If alpha,beta are roots of x^2-px+q=0 then find the quadratic equation whose roots are ((alpha^2-beta^2)(alpha^3-beta^3)) and alpha^2beta^3+alpha^3beta^2

    Find a quadratic equation whose roots x_(1) and x_(2) satisfy the condition x_(1)^(2)+x_(2)^(2)=5,3(x_(1)^(5)+x_(2)^(5))=11(x_(1)^(3)+x_(2)^(3)) (assume that x_(1),x_(2) are real)

    If alpha , beta are the roots of 2 x^(2)-x+7=0 then the equation whose roots are 2-3 alpha and 2-3 beta is

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