SOLUTION: Solve x² + 4x – 7 = 0 by completing the square. How many solutions are there?

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Question 484550: Solve x² + 4x – 7 = 0 by completing the square. How many solutions are there?

Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
x² + 4x – 7 = 0
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=44 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.3166247903554, -5.3166247903554. Here's your graph:
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