SOLUTION: Solve using the quadratic formula. 5x^2-3x-3=0

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Question 166534: Solve using the quadratic formula.
5x^2-3x-3=0
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Solve using the quadratic formula.
5x^2-3x-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=69 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.13066238629181, -0.530662386291808. Here's your graph:

Ignore the onsite solver's comments about factoring, it's only correct when the coefficient of the x^2 term is 1.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Notice we have a quadratic equation in the form of where , , and


Let's use the quadratic formula to solve for x


Start with the quadratic formula


Plug in , , and


Negate to get .


Square to get .


Multiply to get


Rewrite as


Add to to get


Multiply and to get .


or Break up the expression.


So the answers are or


which approximate to or

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