SOLUTION: How me to solve: Find the value(s)that can replace the variable in the expression and cause the expression to be undefined. 2x-3 __________ 2x^2 +5x-3 and 2x+4 _____

Algebra ->  Expressions-with-variables -> SOLUTION: How me to solve: Find the value(s)that can replace the variable in the expression and cause the expression to be undefined. 2x-3 __________ 2x^2 +5x-3 and 2x+4 _____      Log On


   



Question 168381This question is from textbook
: How me to solve: Find the value(s)that can replace the variable in the expression and cause the expression to be undefined.
2x-3
__________
2x^2 +5x-3
and
2x+4
_____
x^2 +4
This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the value(s)that can replace the variable in the expression and cause the expression to be undefined.
(2x-3)/(2x^2 +5x-3)
= (2x-3)/[(2x^2 -1)(x + 3)]
The denominator cannot be zero.
If 2x^2-1=0, x = +/-sqrt(1/2)
If x+3 = 0, x = -3
-------------------------
Ans: x cannot be +/-sqrt(1/2) or -3
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and
(2x+4)/(x^2 + 4)
No Real Number value of x will make the denominator zero.
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Cheers,
Stan H.