Question

If the difference of the zeros of polynomial x square -5x+b is 7 ,then find the value of b

Answer 1

Answer:

Step-by-step explanation:

Let, α and β are the zeros of f(x)= $x^{2}-5x+b$ and α−β=7

Thus, sum of the zeros =α+β=5 and product of the zeros =αβ=b

Now,

 (α−β)  ^2  =(α+β)  ^2 −4αβ

=>(α−β)  ^2  =(5)  ^2  −4b

⇒(7)  ^2  =25−4b

⇒4b=-24

⇒b= -6