Question

5x^2+bx+6=0
alpha - beta =16
find b​

Answer 1

Answer:

b^2=6520

Step-by-step explanation:

Taking alpha as m and beta as n

m+n=-b/5

mn=6/5

m-n=16

(m-n)^2=m^2+n^2-2mn

256+12/5=m^2+n^2

(m+n)^2=m^2+n^2+2mn

            =256+12/5+12/5

(m+n)^2=256+24/5

(m+n)^2=1304/5

b^2/25=1304/5

b^2=6520