Question

In each of the following, determine whether the given numbers are roots of the given equations or not; x² – x + 1 = 0; 1, – 1

Answer 1

 x² – x + 1 = 0; 1, – 1
Where x = 1, then
(1)² – 1 + 1 = 1 – 1 + 1 = 1 ≠ 0
∴ x = 1 does not satisfy it
and (-1)² - (-1) + 1 = 0
1 + 1 + 1 ⇒ 3 ≠ 0
∴ x = -1, does not satisfy it
∴  x = 1, -1 are not roots of the equation.