SOLUTION: For what values of x is {{{ sqrt (2x-10) }}} is a real number

Algebra ->  Radicals -> SOLUTION: For what values of x is {{{ sqrt (2x-10) }}} is a real number      Log On


   



Question 793236: For what values of x is +sqrt+%282x-10%29+ is a real number
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You cannot take the square root of a negative number. Therefore, 2x-10 must be 0 or positive, ie

2x-10%3E=0

2x%3E=10

x%3E=10%2F2

x%3E=5

So any number that is 5 or larger for x will make sqrt%282x-10%29 produce a real number.