Question

HELP ASAP PLS Solve and check c-4/c-2=c-2/c+2-1/2-c the solution is c = ? How many extraneous solutions are there?

Answer 1

Answer: The solution is C = 14

And there is zero extraneous solutions

Step-by-step explanation: Because I said so :-)

Answer 2

Answer : the solution of c is 14.

Explanation :

Since we have given that

`(c-4)/(c-2)=(c-2)/(c+2)-(1)/(2-c)\\\\(c-4)/(c-2)=(c-2)/(c+2)+(1)/(c-2)\\\\(c-4)/(c-2)=((c-2)^2+c+2)/((c+2)(c-2))\\\\(c-4)/(c-2)=(c^2+4-4c+c+2)/((c+2)(c-2))\\\\(c-4)(c+2)=c^2+6-3c\\\\c^2-8-2c=c^2+6-3c\\\\-2c+3c=6+8\\\\c=14`

So, c = 14

So, the solution of c is 14.

There is no extraneous solution as if we put the value of c i.e. 14 in the equation it does not make the equation not defined . so by putting the value of c we get a defined value,

Hence , there is no extraneous solution.