SOLUTION: Solve by using the quadratic formula. x2 = 3x – 1

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Question 49472: Solve by using the quadratic formula. x2 = 3x – 1
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Solve x%5E2=3x-1 by using the quadratic formula: x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a First put your equation in the standard form, ax%5E2%2Bbx%2Bc+=+0.
x%5E2=3x-1 Subtract 3x from both sides of the equation.
x%5E2-3x+=+-1 Now add 1 to both sides.
x%5E2-3x%2B1+=+0 Now apply the quadratic formula. Here, a=1, b=-3, and c=1
x+=+%28-%28-3%29%2B-sqrt%28%28-3%29%5E2-4%281%29%281%29%29%29%2F2%281%29 Simplify.
x+=+%283%2B-sqrt%289-4%29%29%2F2
x+=+%283%2B-sqrt%285%29%29%2F2
The roots are:
x+=+%281%2F2%29%283%2Bsqrt%285%29%29
x+=+%281%2F2%29%283-sqrt%285%29%29