SOLUTION: Solve using quadratic formula y= 5x^2-8x-2 x= 8� sqrt ( 104 ) ----------- 10 x= 8 � sqrt (4*26) ----------- --- 10 x= 8� 2 sqrt (26) ----------- -- 10

Question 887003: Solve using quadratic formula
y= 5x^2-8x-2
x= 8� sqrt ( 104 )
------------
10
x= 8 � sqrt (4*26)
---------------
10
x= 8� 2 sqrt (26)
--------------
10

x= 4� sqrt (26 )
------------
5
That is what I tried. Can you please correct me if something is wrong with my answer.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!

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=104 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.81980390271856, -0.219803902718557. Here's your graph:

Solved by pluggable solver: Quadratic Formula

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=-8, and c=-2

Negate -8 to get 8

Square -8 to get 64 (note: remember when you square -8, you must square the negative as well. This is because .)

Multiply to get

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

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 5 to get 10

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

So the solutions are:

or

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