Question

If ‘ alpha ’ and ‘ beta’ are the zeros of a quadratic polynomial X^2 -5X+b and alpha-beta=1, , then the value of ‘b’ is a. -5 b. -6 c. 5 d. 6​

Answer 1

Answer:

6

Step-by-step explanation:

x²-5x+b

α-β =1. (given)

α+β= -b/a

= -(-5)/1 =5

α+β =5

α -β=1.

2α = 6

α = 6/2 =3

β = 5-3 =2

αβ= c/a

=b/1 = b

αβ= 3×2 = 6

b= 6