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

Question

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

zepdrix · Answer

Write it in that nice quadratic form first of all! c:
$$x^2 -4x + 4 = 0$$
then lets see.. hmmmm

zepdrix · Answer

looks like it is a nice perfect square, doesn't it? c: do ya see it?? :D

anonymous · Answer

yeh

anonymous · Answer

but what does that mean?

zepdrix · Answer

the equation simplifies really nicely to$$(x-2)^2 = 0$$
so hmm solving for x.. we can square both sides of this equation.

anonymous · Answer

so would it be A?

zepdrix · Answer

ya that sounds right c: x=2 is the only solution

anonymous · Answer

(x-2)(x-2)=0
x=2 :)