Question

2x^2+7/2x+3/4 Find the zeroes and verify the relation

Answer 1

Step-by-step explanation:

2x²+7/2 x +3/4

(2x²+7/2x +3/4)×4 ( multiplying 4)

8x²+14x+3 (ac= 8×3 =24 & factor of 24 is 8x²+12x+2x+3 12×2)

4x(2x+3) +1(2x+3)

(4x+1) (2x+3)

4x+1=0 ; 2x+3=0

x=-1/4 ; x=-3/2

alpha=-1/4 beta = -3/2

alpha + beta = -b/a

-1/4+(-3/2) = -(7/2/2)

-1/4 - 3/2 = -7/4

-1/4 -6/4 = -7/4

-7/4= -7/4------------------i

alpha × beta = c/a

-1/4×[-3/2]=(3/4/2)

3/8=3/8-------------------ii

through eq i & ii relation is verified