Question

if a and b are are zeroes of quadratic polynomial f(x) 4x2-5x-1 the find value of
a-b​

Answer 1

Step-by-step explanation:

4x²-5x+1=0

=> 4x²-4x-x+1=0

=> 4x(x-1)-(x-1)=0

=> (x-1)(4x-1)=0

=> x=1

=> x=¼.

Case-1:

If a=1 and b=¼.

a-b => 1-¼= 4-1/4=3/4.

If a=¼ and b=1

a-b => ¼-1=1-4/4=-3/4.