SOLUTION: Solve using the quadratic formula. 3x^2-7x+3=0

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Question 260228: Solve using the quadratic formula.
3x^2-7x+3=0
Found 3 solutions by richwmiller, Alan3354, stanbon:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
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: 1.767591879244, 0.565741454089335. Here's your graph:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
3x^2-7x+3=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=13 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.767591879244, 0.565741454089335. Here's your graph:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve using the quadratic formula.
3x^2-7x+3=0
-----
a = 3 ; b = -7 ; c = 3
----
x = [7 +- sqrt(49 -4*3*3)]/(2*3)
---
x = [7 +- sqrt(13)]/6
---
x = (7+sqrt(13))/6 or x = (7-sqrt(13))/6
==========================================
Cheers,
Stan H.
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