SOLUTION: Use the following quadratic equation to complete parts a and b below. You must show all work. x2 + 4x - 21 = 0 a. Solve by factoring. b. Solve using the quadratic formula

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Question 310094: Use the following quadratic equation to complete parts a and b below. You must show all work.
x2 + 4x - 21 = 0
a. Solve by factoring.
b. Solve using the quadratic formula

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Use the following quadratic equation to complete parts a and b below. You must show all work.
x2 + 4x - 21 = 0
a. Solve by factoring.
(x+7)*(x-3) = 0
x = -7, 3
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b. Solve using the 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=100 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3, -7. Here's your graph:


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