SOLUTION: how do I find the value/values of z in the equation z^2-4z+4=0

Question 174884: how do I find the value/values of z in the equation z^2-4z+4=0
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for z

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solution is (with a multiplicity of 2)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how do I find the value/values of z in the equation z^2-4z+4=0
------------
z^2 - 4z + 4 = 0
Factor to get:
(z-2)(z-2) = 0
Since the product is zero, one of the factors must be zero:
z-2 = 0
Therefore z = 2
=========================
Cheers,
Stan H.
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