If alpha and beta are the zeros of polynomial 4x²+3x+7=0 , then find the value of 1/alpha + 1/beta

Question

If alpha and beta are the zeros of polynomial 4x²+3x+7=0 , then find the value of 1/alpha + 1/beta

in progress 0
Autumn 3 weeks 2021-09-10T11:40:38+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-10T11:41:38+00:00

    Answer:

    Hey dear !!!

    ___________________________

    ==> In the given equation ,

    p(x) = 4x² + 3x + 7

    And α = alpha , β = beta are the zeroes of the given polynomial .

    We have to find the value of ,

    1/α + 1/β

    So, lets find this,

    We have the following values ,as

    a = 4

    b = 3

    c = 7

    We know that,

    α + β = -b/a

    = -3/4

    Also we know that,

    αβ = c/a

    = 7/4

    Now, by using the identity of quadratic expression ,[ 1/α + 1/β = α+β/αβ ]

    By putting the obtained value we get,

    1/α + 1/β = α+β/αβ

    = -3/4/74

    4 and 4 get cancelled and we get

    = -3/7

    Therefore 1/α + 1/β = -3/7

    Thanks !

    plz.mark me as brainly

    0
    2021-09-10T11:42:21+00:00

    Step-by-step explanation:

    nobody walkthe way,please write the answer

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )