SOLUTION: {{{ x^2 - x sqrt( 2 ) - 1 = 0 }}}

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: {{{ x^2 - x sqrt( 2 ) - 1 = 0 }}}      Log On


   

Question 431083: +x%5E2+-+x+sqrt%28+2+%29+-+1+=+0+
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solution:We will solve this quadratic equation by completing the square:

Now we solve %28x-%28sqrt%282%29%29%2F2%29%5E2=3%2F2
x-%28sqrt%282%29%29%2F2=%2B-+sqrt%283%2F2%29
x=sqrt%282%29%2F2%2B-+sqrt%283%2F2%29
x%5B1%5D=%28sqrt%282%29%2Bsqrt%286%29%29%2F2 and
x%5B2%5D=%28sqrt%282%29-sqrt%286%29%29%2F2
Done.