SOLUTION: how can we know that equation has no solution?im a bit confusing about that. check this out ; x=rootx-6 ,ive been work it out and find that x=3 x=-2 then i look at the answers fro

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: how can we know that equation has no solution?im a bit confusing about that. check this out ; x=rootx-6 ,ive been work it out and find that x=3 x=-2 then i look at the answers fro      Log On


   

Question 252269: how can we know that equation has no solution?im a bit confusing about that.
check this out ; x=rootx-6 ,ive been work it out and find that x=3 x=-2 then i look at the answers from the back and it just written as no solution .really confused! -_-
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how can we know that equation has no solution?
I'm a bit confused about that.
check this out ; x = root(x-6).
I've been working it out and find that x=3 x=-2 then i look at the answers from the back.It says no solution. Really confused!
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Your Problem:
x = sqrt(x-6)
Square both sides to get:
x ^2 = x-6
x^2 - x + 6 = 0
(x-3)(x+2) = 0
x = 3 or x = -2
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Checking the answers in the original equation.
Can x = 3 ?
No because sqrt(3-6) = sqrt(-3) is not a Real Number.
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Can x = -2 ?
No because sqrt(-2-6) = sqrt(-8) is not a Real Number.
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Therefore there is no solution for your problem.
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Cheers,
Stan H.