SOLUTION: What is the Quadratic Formula Answer to this: If the quadratic formula is used to solve 2x(x + 5) = 4, what are the solutions? and Solve this quadratic equation using

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Question 256419: What is the Quadratic Formula Answer to this:
If the quadratic formula is used to solve 2x(x + 5) = 4, what are the solutions?

and

Solve this quadratic equation using the quadratic formula.
x^2 + 8x - 5 = 0

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
What is the Quadratic Formula Answer to this:
If the quadratic formula is used to solve 2x(x + 5) = 4, what are the solutions?
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The solutions are the same, regardless of what method is used. There is no "Quadratic Formula Answer", only an answer, or solution(s).
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2x(x + 5) = 4
x(x + 5) - 2 = 0

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=33 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.372281323269014, -5.37228132326901. Here's your graph:

---------------
and
Solve this quadratic equation using the quadratic formula.
x^2 + 8x - 5 = 0
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=84 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.58257569495584, -8.58257569495584. Here's your graph:



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