SOLUTION: 5x to the 2 power +9x+1=0

Question 102616: 5x to the 2 power +9x+1=0
Found 2 solutions by jim_thompson5910, edjones:
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=9, and c=1

Square 9 to get 81

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

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!

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=61 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.118975032409335, -1.68102496759067. Here's your graph:

RELATED QUESTIONS
Simplify the expression 5x − (3x^2 + 9x). The x is to the 2nd... (answered by edjones)
5x to the second... (answered by MathLover1)
5x+9x+2=0 (answered by radh)
2x to the second power + 5x + 1 =... (answered by fractalier)
5x to the second power - 4x + 1 =... (answered by fractalier)
2x to the second power... (answered by Alan3354)
2^(x+1) = 9x (The x+1 is a... (answered by richard1234)
{{{5x^2 + 9x - 2 =... (answered by arden42)
6x to the power of 4 OVER 9x to the power of 2... (answered by Tatiana_Stebko)