SOLUTION: Solve equation by using the quadratic formula. 9x^2+5x-11=0

Question 249185: Solve equation by using the quadratic formula.
9x^2+5x-11=0

Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
9x^2+5x-11=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=421 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.862126918260177, -1.41768247381573. Here's your graph:

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

or Break up the expression.

So the solutions are or

which approximate to or

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