Question

If alpha, beeta are roots of x^2 + 5x + a = 0 and 2alpha + 5beeta = -1, then a is equal to?​

Answer 1

alpha = -b/a

alpha= -5/1

alpha= -5.

beeta = c/a

beeta = a/ 1

beeta = a.

2(alpha)+5(beeta)= -1

2(-5)+5(a)= -1

-10 + 5a = -1

5a= -1+10

5a = 9

a= 9/5