SOLUTION: PLEASE HELP ME SOLVE THIS PROBLEM. (x2+5) = x+3 The answer is -2/3 but I don't know how to arrive at this. I worked for several hours on this but had no luck.

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Question 25593: PLEASE HELP ME SOLVE THIS PROBLEM. (x2+5) = x+3 The answer is -2/3 but I don't know how to arrive at this. I worked for several hours on this but had no luck.
Found 2 solutions by AnlytcPhil, stanbon:
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
(x²+5) = x+3
The answer is NOT -2/3
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
I'm going to assume your x2 means x^2.
You have x^2+5=x+3
x^2-x+2=0
Now use the quadratic formula:
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 -7 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 -7 is + or - .

The solution is

Here's your graph:

Cheers,
Stan H.
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