Question

If a and b are zeros of x 2 ax k such that a-b=9 find value of k

Answer 1

Given a and b are roots of the equation x^2+ax+b=0.
Sum of the roots a+b=-a.........(1)
Product of the roots ab=b.......(2)
(1)=>2a+b=0 and (2)=>a=1 or b=0.
a=1=>b=-2
Thus we have x^+x-2=0 i.e (x+1/2)^2-9/4=0.
Hence minimum value of x^2+ax+b=0 is -9/4.
Hope this works.........

Answer 2

k will ve -9/4 hope this will help