SOLUTION: How do you find out if an equation has real numbers? For example, x^2-9=0, x^2+7=1, 3x-7=14, which one has no real solutions?

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Question 755056: How do you find out if an equation has real numbers? For example, x^2-9=0, x^2+7=1, 3x-7=14, which one has no real solutions?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
If there is a in the solutions, then
the solutions are not all real.
(a)

Add to both sides


and

Both are real solutions
-------------------
(b)

Subtract from both sides



and also,


There are no real solutions
-----------------------
(c)



There is 1 real solution



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