SOLUTION: I need help solving this quadratic equation: (x-2)^2+x^2=10

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I need help solving this quadratic equation: (x-2)^2+x^2=10      Log On


   

Question 13525: I need help solving this quadratic equation:
(x-2)^2+x^2=10
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, get the equation into standard form: ax%5E2+%2B+bx+%2B+c+=+0
%28x-2%29%5E2+%2B+x%5E2+=+0 Expand the parentheses.
x%5E2+-+4x+%2B+4+%2B+x%5E2+=+0 Combine the x^2 terms.
2x%5E2+-+4x+%2B+4+=+0 Factor a 2.
2%28x%5E2+-+2x+%2B+2%29+=+0 Solve the parentheses using the quadratic formula: x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
x=-%28-2%29%2B-sqrt%28%28-2%29%5E2-4%282%29%29%2F2
x=%282%2B-sqrt%284-8%29%29%2F2
x=1%2B-sqrt%28-4%29%2F2
x=1%2B-sqrt%28-1%29
x+=+1%2B-i