Question

Find zeroes of 4x²-3x - 1 by factorisation method and verify the relations between the zeroes and the coefficients:​

Answer 1

Step-by-step explanation:

4x²-3x-1

= 4x²-4x+x-1

= 4x( x-1) +1(x-1)

= (x-1) ( 4x+1)

=> if x-1= 0. => x= 1

=> if 4x+1= 0=> x= -1/4

therefore 1 and -1/4 are zeroes of 4x²-3x-1.

verification:-

(1) alfa+ beta= 1 -1/4 = 3/4,

and -b/a = -(-3)/4= 3/4

(2) alfa×beta= 1×(-1/4) = -1/4

and c/a= -1/4

verified