Home
Class 12
MATHS
Solve the equation x^3 -6x^2 +7x +...

Solve the equation `x^3 -6x^2 +7x +2=0` one root being ` 2 + sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
`2,2 +- sqrt(5)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE -2.3 (LONG ANSWER QUESTIONS)|19 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|9 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE -2.3 (VERY SHORT ANSWER QUESTIONS)|20 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos

  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise PRACTIVE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

Solve the equation 3x^3 -23x^2 + 72 x -70=0 one root being 3 3+ sqrt(-5)

Solve the equation 3x^3 -26 x^2 + 52 x-24 =0 the roots being in G.P

Knowledge Check

  • The root of x^(3) - 6x^(2) + 7x + 2 = 0 one root being 2 + sqrt(5) are

    A
    `-8//3, 2 + sqrt(7)i`, `2 - sqrt(7)`
    B
    `2, 2 + sqrt(5), 2 - sqrt(5) `
    C
    `-1, 1 + 2 , 1 - 2 `
    D
    `-1 + sqrt(2), 1 + sqrt(2), 1 - 1`

    • Similar Questions

    Explore conceptually related problems

    Solve the equation x^5 -x^4 + 8x^2 - 9x + 15=0 two of its roots being - sqrt(3) ,1-2 sqrt(-1)

    solve the equations x^3 -3x^2 - 6x +8=0 the roots being in A.P

    Solve the equation 6x^3 -11x^2 +6x -1=0 the roots being in H.P

    solve the equations 32x^3 - 48 x^2 + 22 x -3=0 , the roots being in A.P.

    Solve the equation 8x ^(3) - 36 x ^(2) - 18 x + 81 = 0 the roots being in A.P.

    Solve the equation x^4-9x^3+27x^2-29x+6=0 given that one root of it is 2-sqrt(3)

    Solve the equation x^3 +6x +20=0 one root being l +3i

    Home
    Profile