Question

if alpha and beta are the zeros of the polynomial p(y)= 5y^2-7y+1 find alpha^2-beta^2​

Answer 1

Answer:

$\sqrt{29} \div 5$

Step-by-step explanation:

sum of the roots is -b/a = 7/5

product of the roots is c/a =1/5 here

(alpha+beta)^2=alpha^2 + beta^2 + 2alpha.beta (put values)

we get

alpha^2 + beta^2 = 39/25

again use

=alpha^2 + beta^2 - 2alpha.beta (put values)

to get

(alpha-beta)^2= 29/25

taking the underoot is the required ans.