SOLUTION: What is an equation equivalent to the one below by writing the trinomial as a perfect square trinomial? {{{ x^2 - 4x + 1 = 0 }}} A.) {{{ x^2 - 4x +4 = -3 }}} B.) {{{ x^2 -

Algebra ->  Equations -> SOLUTION: What is an equation equivalent to the one below by writing the trinomial as a perfect square trinomial? {{{ x^2 - 4x + 1 = 0 }}} A.) {{{ x^2 - 4x +4 = -3 }}} B.) {{{ x^2 -      Log On


   

Question 1030996: What is an equation equivalent to the one below by writing the trinomial as a perfect square trinomial?
+x%5E2+-+4x+%2B+1+=+0+
A.) +x%5E2+-+4x+%2B4+=+-3+
B.) +x%5E2+-+4x+%2B5+=+0+
C.) +x%5E2+-+4x+%2B+4+=+3+
D.) +x%5E2+-+4x+%2B+4+=+5+
Answer by JoelSchwartz(130) About Me  (Show Source):
You can put this solution on YOUR website!
(x+z)^2=(x+z)(x+z)=x^2+zx+zx+z^2
if z=-2
((x-2)^2)=x^2-4x+4
((x-2)^2)-3=x^2-4x+1
x^2-4x+1=0
((x-2)^2)-3=0
(x-2)(x-2)=3
x^2-2x-2x+4=3
x^2-4x+4=3
The answer is C