SOLUTION: x2-2x-2=0

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Question 281453: x2-2x-2=0
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
x2-2x-2=0
x^2-2x=2
complete the square
1/2*2=1
1^2=1
add one to both sides
x^2-2x+1=3
(x-1)^2=3
x-1=+sqrt(3)
x=1+sqrt(3)

x-1=-sqrt(3)
x=1-sqrt(3)
answer
x=1+sqrt(3), 1-sqrt(3)
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=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:

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