SOLUTION: I'm haveing trouble completing this equation...using Q. F. x=-b+- sq. b^2-4ac/2a 2+2x-x^2=0 The answer is 1+- sq. 3

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I'm haveing trouble completing this equation...using Q. F. x=-b+- sq. b^2-4ac/2a 2+2x-x^2=0 The answer is 1+- sq. 3      Log On


   



Question 85166: I'm haveing trouble completing this equation...using Q. F.
x=-b+- sq. b^2-4ac/2a
2+2x-x^2=0
The answer is 1+- sq. 3

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!

2%2B2x-x%5E2=0 Lets first multiply each term by -1 to get the quadratic in a more recognizable form:
x%5E2-2x-2=0 quadratic in standard form where:
A=1
B=-2
C=-2
Solve using the quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%282+%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A%28-2%29+%29%29%2F%282%2A1%29+ and this equals:
x+=+%282+%2B-+sqrt%28+4%2B8%29%29%2F%282%29+ which equals:
x+=+%282+%2B-+sqrt%28+12%29%29%2F%282%29+ and this can be written as:
x+=+%282+%2B-+sqrt%284%2A3%29%29%2F%282%29+ simplifying we get:
x+=+%282+%2B-+2sqrt%283%29%29%2F%282%29+ and this reduces to:
x+=+%281+%2B-sqrt%283%29%29

Hope this helps----ptaylor