SOLUTION: Solve and check. x-1/x^2+4 = 1.

Question 247187: Solve and check.
x-1/x^2+4 = 1.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
x-1/x^2+4 = 1
x-1=x^2+4
x^2-x+5=0 Subtract the left side from the right.
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Ed
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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 : .

The discriminant -19 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -19 is + or - .

The solution is

Here's your graph:

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