- #1

frozen7

- 163

- 0

3(x)^1/2 = (x)^1/2

How come there are two answers for this equation?? 0 and 1/3

How come there are two answers for this equation?? 0 and 1/3

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- Thread starter frozen7
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- #1

frozen7

- 163

- 0

3(x)^1/2 = (x)^1/2

How come there are two answers for this equation?? 0 and 1/3

How come there are two answers for this equation?? 0 and 1/3

- #2

siddharth

Homework Helper

Gold Member

- 1,141

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[tex] 3 \sqrt{x} = \sqrt {x} [/tex]

How is 1/3 a solution?

On substituting 1/3 in the Left Hand side you get [tex]\sqrt 3 [/tex]

On substituting 1/3 in the Right Hand side you get [tex] \frac {1}{\sqrt 3} [/tex]

So LHS is not equal to RHS.

This means that 1/3 is not a solution

- #3

Phoenix314

- 16

- 0

9x = x

And x = 0 should be your only answer

- #4

Zurtex

Science Advisor

Homework Helper

- 1,120

- 1

Erm:frozen7 said:3(x)^1/2 = (x)^1/2

How come there are two answers for this equation?? 0 and 1/3

[tex]3 \sqrt{x} = \sqrt{x}[/tex]

[tex]3 \sqrt{x} - \sqrt{x} = 0[/tex]

[tex]2 \sqrt{x} = 0[/tex]

[tex]\sqrt{x} = 0[/tex]

I think there is only one solution to that.

- #5

Nylex

- 552

- 2

Phoenix314 said:

9x = x

And x = 0 should be your only answer

You don't need to. It should be clear that x = 0, otherwise you'd have 3 = 1.

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