SOLUTION: Quadratic equations are always hard for me to understand and believe me they can kill a day. :o{ Can you help me with the steps with this one. F(x) = -2x^2 + 2x + 8 THanks a

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Question 356800: Quadratic equations are always hard for me to understand and believe me they can kill a day. :o{
Can you help me with the steps with this one.
F(x) = -2x^2 + 2x + 8
THanks a bunch!

Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
They're all the same.
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=68 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -1.56155281280883, 2.56155281280883. Here's your graph:

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Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
F(x) = -2x^2 + 2x + 8
----
You did not say what you want to do with this quadratic.
---
Graph:

===================================================
Y-intercept: If x = 0, y = 8
X-intercept: If y = 0, x = ?
Solve -2x^2+2x+8 = 0
-2(x^2-x-4) = 0
Quad. Formula:
x = [1 +- sqrt(1-4*-4)/2
x = [1+-sqrt(17)]/2
------------------------
Cheers,
Stan H.

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