Question

If Alfa and bita are the zeroes of a quadratic polynomial x2+5x+b and alfa -bita=1 then the value of b is a.-5
b.-6
c.5
d. 6

Answer 1

Answer:

b = 6

Step-by-step explanation:

x2 + 5x +b

roots are Alfa and bita

Difference of roots = Alfa - bita

Alfa - bita = 1

| root D / a | =1

| root b^2 - 4 ac / a |=1

| root 25 - 4 (1) b = 1

| root 25 - 4b |= 1

Sq. both sides

25 - 4b = 1

-4b = -24

b = 6