SOLUTION: Can someone help me with this? Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks: Solve by factoring and Solve by using the quadratic formula. Tha

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Question 85408: Can someone help me with this?
Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks:
Solve by factoring and Solve by using the quadratic formula.
Thanks!

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
"Solve by factoring"
ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.
Error occurred executing solver 'quadratic_factoring' .


So we now have

Set each factor equal to zero
or

Solve for x
or



"Solve by using the quadratic formula"
Solved by pluggable solver: SOLVE quadratic equation with variable
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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