1. It is known that the equation A & # 178; X & # 178; + (2a-1) x + 1 = 0 has two real number roots x1, x2. (1) when a is what value, x1 ≠ x2; (2) whether there are real number roots which are opposite to each other? If so, find out the value of a; if not, explain the reason

1. It is known that the equation A & # 178; X & # 178; + (2a-1) x + 1 = 0 has two real number roots x1, x2. (1) when a is what value, x1 ≠ x2; (2) whether there are real number roots which are opposite to each other? If so, find out the value of a; if not, explain the reason

(1) If x1 ≠ X2, then
a≠0
Δ=(2a-1)²-4a²>0
-4a+1>0
Solution
a