SOLUTION: Solve by completing the sqaure. Express radical answers as exact roots in simplest radical form and as approximate roots, to the nearest hundreth. x^2+4x+1=0

Algebra ->  Radicals -> SOLUTION: Solve by completing the sqaure. Express radical answers as exact roots in simplest radical form and as approximate roots, to the nearest hundreth. x^2+4x+1=0       Log On


   

Question 304635: Solve by completing the sqaure. Express radical answers as exact roots in simplest radical form and as approximate roots, to the nearest hundreth.
x^2+4x+1=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B4x%2B1=0
Take 1/2 of the x coefficient, square it, add it to both sides of the equation.
%28x%5E2%2B4x%2B4%29%2B1=4
%28x%2B2%29%5E2%2B1=4
%28x%2B2%29%5E2=3
x%2B2=0+%2B-+sqrt%283%29
x=+-2+%2B-+sqrt%283%29 or approximately
x=-0.27 and
x=-3.73