SOLUTION: I don't know how to do this. Determine the values for the variable that will make each expression a real number. The problems are: √ 2x-1 √ 2x-10 √

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Question 582176: I don't know how to do this.

Determine the values for the variable that will make each expression a real number.

The problems are:
√ 2x-1
√ 2x-10
√ 2x^2
√ x^2+17
√ x+5

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Determine the values for the variable that will make each expression a real number.
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For each, the radicand cannot be negative.
-----------------
The problems are:
√ 2x-1
Solve: 2x-1 >= 0
2x >= 1
x >= 1/2
-----------------
√ 2x-10
Solve: 2x-10 >= 0
2x >= 10
x >= 5
---------------------------------------
√ 2x^2
2x^2 >= 0
x^2 >= 0
x is All Real Numbers
-------------------------------------------------------
Etc.
Cheers,
Stan H.
-------------------------
√ x^2+17
All Real Numbers
----------------------------
√ x+5
x >= -5
===================
Cheers,
Stan H.

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