Home
Class 10
MATHS
Write the value of alpha + beta and alp...

Write the value of `alpha + beta ` and `alpha beta `, if (i) `a = 3, b = 6 , c = 9 ` (ii) `a = 2, b = - 8 , c = 5 `

Text Solution

Verified by Experts

The correct Answer is:
(i) ` -2;3` (ii) `4, (5)/(2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNEMENT 2.3|7 Videos
  • QUADRATIC EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNEMENT 2.4|8 Videos
  • QUADRATIC EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNMENT 2.1|8 Videos
  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise CHALLENGIN QUESTIONS|2 Videos
  • SIMILARITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SUBJECTIVE TYPE|20 Videos

Similar Questions

Explore conceptually related problems

Write the quadratic equations, if (i) alpha + beta = -6, alpha beta = 4 (ii) alpha + beta = 8 , alpha beta = -3

Write the quadratic equations, if (i) alpha + beta = - 10 , alpha beta = 7 (ii) alpha + beta = 4, alpha beta = - 2

Knowledge Check

  • Let the roots alpha, beta of the equation ax^(2) + bx + c = 0 satisfy (alpha + beta) alpha^(2) beta^(2) = alpha^(2) + beta^(2) , then (i) ab^(2), ca^(2), bc^(2) and (ii) (a)/(c), (b)/(a), (c)/(b) are in

    A
    A.P.
    B
    G.P.
    C
    H.P.
    D
    none of these
  • If alpha and beta are positive the the least value of (alpha^(-6) + beta^(-6) + 2alpha^(-3)beta^(-3))alpha^(6)beta^(6) where alpha =2 and beta =3.

    A
    16
    B
    25
    C
    30
    D
    36
  • I a, b and c are not all equal and alpha and beta be the roots of the equation ax^(2) + bx + c = 0 , then value of (1 + alpha + alpha^(2)) (1 + beta + beta^(2)) is

    A
    0
    B
    positive
    C
    negative
    D
    non-negative
  • Similar Questions

    Explore conceptually related problems

    Find alpha + beta " and " alpha beta value for the quadratic equation has a=2, b=-4 " and " c=-2

    If alpha, beta are zeroes of polynomial 6x^(2) +x-1 , then find the value of (i) alpha^(3) beta + alpha beta^(3) , (ii) alpha/beta + beta/alpha +2(1/alpha + 1/beta) + 3 alpha beta

    Let alpha,beta in R and (alpha-beta i )/(1+2i) =(-6-8i )/(5) . The value of (alpha+beta) is

    If for one quadratic equation alpha + beta =5 " and " alpha beta =6 , then find value of alpha^2 + beta^2

    The number of ways of arranging "11" objects "A,B,C,D,E,F, alpha,alpha,alpha,beta,beta so that every beta lies between two alpha (not necessarily adjacent) is K times 6!times^(11)C_(5) ,then "K" is (For e.g.here the arrangement " A alpha B alpha C beta E beta alpha FD is valid but " A alpha B alpha C beta E alpha F beta D" is not "