SOLUTION: 3/2x-2 + 1/2 = 2/x-1
Note the restrictions.
Thanks!
Algebra.Com
Question 54617: 3/2x-2 + 1/2 = 2/x-1
Note the restrictions.
Thanks!
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
3/2x-2 + 1/2 = 2/x-1
Since the denominator cannot equal to zero, set each denominator equal to zero and solve for the restriction:
3/2x-2
(2x-2)=0
2x-2=0
2x=2
x=1
So, when x=1, the denominator equals zero which is not acceptable:
3/2x-2
3/2(1)-2
3/2-2
3/0 [Unacceptable because you cannot divide by zero]
So the first restriction is that x cannot equal 1
.
Try the other fraction containing x in the denominator:
2/x-1
(x-1)=0
x-1=0
x=1
So, when x=1, the denominator equals zero which also is not acceptable:
2/x-1
2/(1)-1
2/0 [Cannot divide by zero, so, in this fraction also, x cannot equal to one]
.
The restrictions are any real number, except that x cannot equal (1).
RELATED QUESTIONS
Simplify this expression and state any restrictions on the variables.
X/4x-8 -... (answered by Fombitz)
Simplify this expression and state any restrictions on the variables.
X/4x-8 -... (answered by ankor@dixie-net.com)
1. State any restrictions on the variables.... (answered by solver91311)
Determine the restrictions of the variable
1
____ = 3... (answered by josgarithmetic)
Simplify. State any restrictions on the variable.. please help me with these to. thanks... (answered by Mathtut)
Simplify and state any restrictions on the variables.
(x)/(4x-8) - (x+1)/(x^2 + 2x -... (answered by MathLover1)
List the non-permissible values the following rational expressions.
A) 9x/6-3x
B)... (answered by solver91311)
Simplify. State any restrictions on the variable.
1. x^2+x-6/x^2+3x
2.... (answered by jim_thompson5910)
Simplify and state restrictions:
3x-1/X^2+4X-5+5X/X^2-4X+3 (answered by MathLover1)