SOLUTION: I am totally stuck. I do not think I can answer in decimals, yet that is what I keep coming up with. In other exercises like this I get an answer with a square root in it......

Question 178424: I am totally stuck. I do not think I can answer in decimals, yet that is what I keep coming up with. In other exercises like this I get an answer with a square root in it......
solve 3x^2-5x-11=0
A. what are the solutions
B. What are the x intercepts
Simplify your answers. Type exact answers using radicals as needed. Express complex numbers in terms of i. Use commas to separate your answers as needed.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a)

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

b)

Since the solutions are approximately or , this means that the x-intercepts are approximately (2.922,0) and (-1.255,0)

Note: the solutions of any quadratic are the x-intercepts of the parabola
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