Question

if alpha and beta are the zeros of the polynomial 4x2-5x-1 find the value of
1.alpha -beta
2.alpha ^2 +beta^2
3.alpha^4+beta^4
4.alpha beta^2+alpha ^2beta
5.1/alpha +1/beta
6.1/alpha +1/beta-alpha beta
7.1/alpha -1/beta
8.alpha ^3+beta^3
9.alpha/beta+beta/alpha
10.alpha^2/beta+beta^2/alpha
11.alpha/beta+beta/alpha +1/alpha +1/beta+3alpha beta
12.alpha^4 beta^3+alpha^3 beta^4
13.1/alpha +1/beta -2 alpha beta
14.alpha^2/beta^2+alpha^2/beta^2​

Answer 1

Answers :

1.) -0.75

2.) 1.06

3.) 1.003

4.) 0.31

5.) 5

6.) 4.75

7.) 3

8.) 1.01

9.) 4.25

10.) 4.06

11.) 10

12.) 0.01

13.) 4.5

14.) 0.12