SOLUTION: Use completing the square or the quadradic formula to find the solutions to the equation: x^2-4x+2=0. I am stuck on this one, thank you in advance for any help.

Algebra ->  Radicals -> SOLUTION: Use completing the square or the quadradic formula to find the solutions to the equation: x^2-4x+2=0. I am stuck on this one, thank you in advance for any help.      Log On


   

Question 43652: Use completing the square or the quadradic formula to find the solutions to the equation: x^2-4x+2=0. I am stuck on this one, thank you in advance for any help.
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
x^2-4x+2=0.
Plug the values of the coefficients into the quadratic formula:
a=+1
b=-4
c=+2
.
x+=+%28--4+%2B-+sqrt%28+-4%5E2-4%2A1%2A2+%29%29%2F%282%2A1%29+
.
Simplify:
x+=+%284+%2B-+sqrt%28+16+-8+%29%29%2F%282%29+
.
Continue to simplify:
x+=+%284+%2B-+sqrt%28+8+%29%29%2F%282%29+
.
The square root of 8 is 2sqrt2:
x+=+%284+%2B-+2sqrt%28+2+%29%29%2F%282%29+
.
Factor out 2:
x+=+2%282+%2B-+1sqrt%28+2+%29%29%2F%282%29+
.
x+=+%282+%2B-+1sqrt%28+2+%29%29+