Question

If alpha and beta are zeroes of the polynomial p(x)=4x raised to the power 2+11x+5,find the value of 1/alpha +1/beta-2alphabeta

Answer 1

alpha +beta /alpha beta -2alphabeta = -11/2÷5/2 -5 = -11/5-2 = -21/5

Answer 2

Answer:

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= -47/10

Step-by-step explanation:

alpha+beta= -b/a                          a= 4

alpha* beta = c/a                                   b =11

                                                                      c=5

alpha +beta = -11/4

alpha *beta = 5/4

=1/alpha+1/beta-2alpha*beta

=beta +alpha/alpha*beta -2alphabeta

putting the value

= -11/4 /5/4 -2*5/4

= -11/5 -5/2

-11 *2 -5*5/10

-22-25/10

-47/10