SOLUTION: Hello, These are the problems that I am having trouble with: Solve: 1. -3x^2 + 5x - 1 = 0 2. x^2 + 6x + 6 = 0 Please and thanks!

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Question 479537: Hello,
These are the problems that I am having trouble with:
Solve:
1. -3x^2 + 5x - 1 = 0
2. x^2 + 6x + 6 = 0
Please and thanks!
Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
1. -3x^2 + 5x - 1 = 0
3x2-5x+1=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=13 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.43425854591066, 0.232408120756002. Here's your graph:








2. x^2 + 6x + 6 = 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=12 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -1.26794919243112, -4.73205080756888. Here's your graph:
..
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