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.

Algebra ->  Quadratic Equations and Parabolas -> 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.      Log On


   

Question 330100: 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.
Found 2 solutions by mananth, privani:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
if you solve the equation by the quadratic formula
you get two real roots

Answer by privani(34) About Me  (Show Source):
You can put this solution on YOUR website!
Your question is not clear.
Anyway,
assuming Q: 0=x%5E2-7x=1; 0=ax%5E2%2Bbx%2Bc.
Hence, a=1, b=-7 and c=1.
Therefore, using the quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F2a
x+=+%28-%28-7%29+%2B-+sqrt%28+%28-7%29%5E2-4%281%29%281%29+%29%29%2F2%2A%281%29
x+=+%287+%2B-+sqrt%2849-4%29%29%2F2
x+=+%287+%2B-+sqrt%2845%29%29%2F2
Hence,
x+=+%287+%2B+sqrt%2845%29%29%2F2 OR x+=+%287+-+sqrt%2845%29%29%2F2
x+=+%287+%2B+6.708%29%2F2 x+=+%287+-+6.708%29%2F2
x+=+6.854 x+=+0.146
Answer: (C) Two