Question

In the following, show that the given numbers are the solution of the given equation:

4x² − 4x + 1 = 0; x = −`1/2`

Answer 1

Given:

4x² − 4x + 1 = 0

Verification

Substitute `x=−1/2`​ in the left-hand side (LHS):

`4(-1/2)^2 -4(-1/2)+1`

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

= 1 + 2 + 1

= 4

LHS ≠ 0,

x = `−1/2`​ is not a solution of 4x² − 4x + 1 = 0​