SOLUTION: 1. Graph the following quadratic functions F(x)= -x^2-2x+2 F(x)= -x^2+3x+2 F(x)= x^2+2x+2 F(x)= x^2-2x-2 2. Solve the equation and check the proposed solutions 2/x+2/x

Question 150372: 1. Graph the following quadratic functions
F(x)= -x^2-2x+2
F(x)= -x^2+3x+2
F(x)= x^2+2x+2
F(x)= x^2-2x-2

2. Solve the equation and check the proposed solutions 2/x+2/x+1 = 3x-1/x^2-1. Show all work

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1. Graph the following quadratic functions
a. F(x)= -x^2-2x+2
b. F(x)= -x^2+3x+2
c. F(x)= x^2+2x+2
d. F(x)= x^2-2x-2
2. Solve the equation and check the proposed solutions 2/x+2/x+1 = 3x-1/x^2-1. Show all work
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1a

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=12 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -2.73205080756888, 0.732050807568877. Here's your graph:

Further simplified:
x1 = -1+sqrt(3)
x2 = -1-sqrt(3)
++++++++++++++++++
The other 3 are done the same way.
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2. This is ambiguous and needs clarification.
The right side could mean 3x - (1/x^2) - 1, or 3x - 1/(x^2-1). Add parentheses, they're free.
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