SOLUTION: solve using the quadratic formula. express answers as exact roots. x^2-6x+3=0 3x^2+5x+1=0 3x^2-6x-8=0 4x^2-2x+5=0 b^2+3b=1

Question 876091: solve using the quadratic formula. express answers as exact roots.
x^2-6x+3=0
3x^2+5x+1=0
3x^2-6x-8=0
4x^2-2x+5=0
b^2+3b=1
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
solve using the quadratic formula. express answers as exact roots.
x^2-6x+3=0
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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=24 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 5.44948974278318, 0.550510257216822. Here's your graph:

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The others are similar.
3x^2+5x+1=0
3x^2-6x-8=0
4x^2-2x+5=0
b^2+3b=1
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