anonymous
  • anonymous
Find the type and number of solutions for the equation. x^2 - 4x = -4 A)one distinct real solution B)two distinct real solutions C) two distinct nonreal complex solutions
Mathematics
chestercat
  • chestercat
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zepdrix
  • zepdrix
Write it in that nice quadratic form first of all! c: \[x^2 -4x + 4 = 0\] then lets see.. hmmmm
zepdrix
  • zepdrix
looks like it is a nice perfect square, doesn't it? c: do ya see it?? :D
anonymous
  • anonymous
yeh

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anonymous
  • anonymous
but what does that mean?
zepdrix
  • zepdrix
the equation simplifies really nicely to\[(x-2)^2 = 0\] so hmm solving for x.. we can square both sides of this equation.
anonymous
  • anonymous
so would it be A?
zepdrix
  • zepdrix
ya that sounds right c: x=2 is the only solution
anonymous
  • anonymous
(x-2)(x-2)=0 x=2 :)

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