Question

If alpha,beta are zeroes of the polynomial p(x)=3x2-2x-6find 1/alpha+1/beta

Answer 1

Answer:

ANS.. =>  (-1/3)

Step-by-step explanation:

HEY DEAR,

HERE IS YOUR ANSWER............

3X^2 - 2X  - 6 = 0

ALPHA AND BETA ARE THE ZEROES OF THIS POLYNOMIAL..

AS WE KNOW ANY POLYNOMIAL IS OF THE FORM:

X^2 + (SUM OF ROOTS)X  + (PRODUCT OF ROOTS)

HERE,

3X^2 -2X -6 =0

X^2  -  (2/3)X - 2 =0

SO,

SUM OF ROOTS = 2/3

PRODUCT OF ROOTS = -2

NOW ,    LET ALPHA = A AND BETA = B

SO  1/A +1/B   = (A+B)/AB

                       = 2/3(-2)

                        = (-1/3)

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HOPE IT HELPS YOU..

THANKS .

^_^

Answer 2

Answer:

See the attachment for your answer..