SOLUTION: Solve by completing the square. Leave answers in radical form. Thank you -2x + 6 = -x^2

Algebra ->  Rational-functions -> SOLUTION: Solve by completing the square. Leave answers in radical form. Thank you -2x + 6 = -x^2      Log On


   

Question 1188928: Solve by completing the square. Leave answers in radical form. Thank you
-2x + 6 = -x^2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Solve by completing the square.
-2x+%2B+6+=+-x%5E2
x%5E2-2x+%2B+6+=+0
%28x%5E2-2x+%2Bb%5E2%29-b%5E2%2B+6+=+0
%28x%5E2-2x+%2B1%5E2%29-1%5E2%2B+6+=+0
%28x-1%29%5E2%2B+5+=+0
%28x-1%29%5E2+=+-5
x-1+=± sqrt%28+-5%29
x+=1± sqrt%28+-5%29
x+=+1 ± i%2A+sqrt%285%29