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
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
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
Similar questions
Math,
6 months ago
Chemistry,
6 months ago
Biology,
1 year ago
Social Sciences,
1 year ago
Physics,
1 year ago