SOLUTION: please help me solve this problem using the quadratic formula. 5x^2 - 3x - 3 = 0

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Question 92079This question is from textbook Algebra and Trigonometry
: please help me solve this problem using the quadratic formula.
5x^2 - 3x - 3 = 0 This question is from textbook Algebra and Trigonometry

Found 2 solutions by funmath, jim_thompson5910:
Answer by funmath(2933)   (Show Source): You can put this solution on YOUR website!
please help me solve this problem using the quadratic formula.
5x^2 - 3x - 3 = 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=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:

Happy Calculating!!!
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let's use the quadratic formula to solve for x:


Starting with the general quadratic



the general solution using the quadratic equation is:



So lets solve ( notice , , and )

Plug in a=5, b=-3, and c=-3



Negate -3 to get 3



Square -3 to get 9 (note: remember when you square -3, you must square the negative as well. This is because .)



Multiply to get



Combine like terms in the radicand (everything under the square root)






Multiply 2 and 5 to get 10

So now the expression breaks down into two parts

or


Now break up the fraction


or





So these expressions approximate to

or


So our solutions are:
or

Notice when we graph , we get:



when we use the root finder feature on a calculator, we find that and .So this verifies our answer
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