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

Answer 1

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

Answer 2

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

Answer 3

yeh

Answer 4

but what does that mean?

Answer 5

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

Answer 6

so would it be A?

Answer 7

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

Answer 8

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