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Question 92079This question is from textbook Algebra and Trigonometry
5x^2 - 3x - 3 = 0
This question is from textbook Algebra and Trigonometry

Found 2 solutions by funmath, jim_thompson5910:
You can put this solution on YOUR website!
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!!!

You can put this solution on YOUR website!
Let's use the quadratic formula to solve for x:

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