How many solution does the expression x+3−−−−√=xx+3−−−−√x+3=xx+3 has?
Pick one.
A) 23
B) 27
C) 260
D) 175
E) 191
Squaring on the both sides, x+3=x2(x+3)x+3=x2(x+3)   Bring x+3 to one side and take common, (x2−1)(x+3)(x2−1)(x+3)   So roots are, 1, -1, 3. But -1 is not a root. So 1, -3 are the roots.   (∵∵ when you square the equation additional roots may be generated. So finally you have to check manually, whether the given roots satisfy the original equation or not)   Answer:27
<result>B</result>
How many solution does the expression x+3−−−−√=xx+3−−−−√x+3=xx+3 has?