If α and β are the zeros of the Polynomial f(x)=x2-5x+k such that α-β=1 find the value of K?

If α and β are the zeros of the Polynomial f(x)=x2-5x+k such that α

1.	If α and β are the zeros of the Polynomial f(x)=x2-5x+k such that α-β=1 find the value of K?
Answer» a-b=1 and a+b=5 By solving itWe will get a=3 and b = 2So ,k = ab = 3×2 = 6Hence, k=6 a=1, b=-5, c=kWe r doing this formula D =b2 - 4ac (-5)2 -41k 25 - 4k = 0 -4k = -25 subtract sin se subtract sin cancel we get4k =25 K = 25/4