Question

If the equation x² – ax + 1 = 0 has two distinct roots, then
A. |a|= 2
B. |a|< 2
C. |a|> 2
D. None of these

Answer 1

| a |  > 2 If the equation x² – ax + 1 = 0 has two distinct roots

Step-by-step explanation:

the equation x² – ax + 1 = 0 has two distinct roots

=> D > 0

D = (-a)² - 4(1)(1)

= a² - 4

a² - 4 > 0

=> a² > 4

=> | a |  > 2

| a |  > 2 If the equation x² – ax + 1 = 0 has two distinct roots

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