Math, asked by hariharan84, 1 year ago

22. If a and B are the zeros of the quadratic, polynomial f(x)=x*-5x+4, find the value of
1/ Alpha + 1/ beta-2aß.

Answers

Answered by kundanraj8
12

Answer:

x*-5x+4

x*-4x-x+4

x(x-4)-1(x-4)

(x-1)(x-4)

so

α=1

β=4

A/q

1/1+1/4-2*1*4

1+1/4-8

1/4-7

1-28/7

-27/8

Answered by andrew2004
9

Answer:

3/28

Step-by-step explanation:

A and B are the zeroes of F(x)=x² - 5x + 4

A=alpha

B=beta

solve f(x)=x² -5x + 4

= x² -4x -x + 4

=x(x - 4) - 1(x - 4)

=(x - 1)(x - 4)

x=4,1

alpha=4

beta=1

1/alpha + 1/beta - 2alpha beta

therefore

1/a + 1/b - 2ab

=1/4 + 1/1 - 2*4*1

=1/4 + 1/1 - 8

=1/4 -1/7

=7 - 4/28

=3/28

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