SOLUTION: {{{x^2 + 4x - 2 = 0}}}

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: {{{x^2 + 4x - 2 = 0}}}      Log On


   

Question 204780:
x%5E2+%2B+4x+-+2+=+0
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
because it can't be factorized, we can use this formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A1%2A%28-2%29+%29%29%2F%282%2A1%29+
x+=+%28-4+%2B-+sqrt%28+16%2B8+%29%29%2F2+
x+=+%28-4+%2B-+sqrt%28+24+%29%29%2F2+
x+=+%28-4+%2B-+sqrt%28+4%2A6+%29%29%2F2+
x+=+%28-4+%2B-+2%2Asqrt%28+6+%29%29%2F2+
x+=+-2+%2B-+sqrt%28+6+%29

so,
x1+=+-2+%2B+sqrt%28+6+%29
x2+=+-2+-+sqrt%28+6+%29