SOLUTION: can you create your own quadratic equation and show how it would be solved by graphing, factoring, the quadratic formula, and by completing the square.

Question 668932: can you create your own quadratic equation and show how it would be solved by graphing, factoring, the quadratic formula, and by completing the square.
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Since you get to choose your own, work backward and pick simple roots.
Lets say, 2 and 4
...
(x-2)(x-4) : which is the factored form
Therefore, the equation is:
...
Completing the square

(x-3)(x-3) = 1

x = 3+1 = 4
x = 3-1 = 2
...
Quadratic formula

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=4 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4, 2. Here's your graph:

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