Question

4x²-4x+1
verify the relationship between the zereos and coefficient

​

Answer 1

Step-by-step explanation:

4x² - 4x + 1

Factorising:

4x² - 2x - 2x + 1 = 0

2x (2x - 1) -1 (2x - 1) = 0

(2x - 1) (2x - 1) = 0

x = 1/2 ; x = 1/2

Let alpha = 1/2 and beta = 1/2

We know that

alpha + beta = -b/a

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

= 1 = 1

LHS = RHS

We know that

alpha × beta = c/a

= 1/2 × 1/2 = 1/4

= 1/4 = 1/4

LHS = RHS

Hence, verified.