SOLUTION: How many real-number solutions does 0 = x^2 - 7x + 1 have? (A) None (B) One (C) Two (D) All real numbers (E) It is impossible to determine.

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Question 335848: How many real-number solutions does 0 = x^2 - 7x + 1 have?
(A) None (B) One (C) Two (D) All real numbers
(E) It is impossible to determine.

Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
Check the discriminant, b%5E2-4ac
If it is a positive number, then there are 2 real solutions.
%28-7%29%5E2-4%281%29%281%29=45
a positive number. Thus, it has two real solutions.
They are %283sqrt%285%29%2B7%29%2F2
and
%28-3sqrt%285%29%2B7%29%2F2