Question

Classify the solutions of 1 over x plus 4, plus one half, equals 1 over x plus 4 as extraneous or non-extraneous

Answer 1

lol there is either a solution, or there is not
not sur what math teacher made up this "extraneous' nonsense

Answer 2

\[\frac{1}{x+4}+\frac{1}{2}=\frac{1}{x+4}\]? is that the question?

Answer 3

i just need help with the extraneous and non extraneous

Answer 4

yes that is

Answer 5

a bit hard to read

Answer 6

oh ok then lets think

Answer 7

x is a variable, it can be anything
but whatever it is on the left, it is the same on the right
so if you add one half to a number, it is impossible to get the same number back
there is NO SOLUTION

Answer 8

the answer is x= -4 but idk if its extraneous or not

Answer 9

THE ANSWER IS NOT X = -4

Answer 10

then what is it? bc i followed the directions in the lesson

Answer 11

ok fine, say \(x=-4\) is "extraneous" if that will make your math teacher happy

Answer 12

do you know the difference between the two?

Answer 13

\[\overbrace{\frac{1}{x+4}}^{\text{this}}+\frac{1}{2}=\overbrace{\frac{1}{x+4}}^{\text{is equal to this}}\]

Answer 14

ok

Answer 15

you cannot add one half to a number and get the same number back

Answer 16

the not very bright math teacher who wants you not to think like a person, but do some steps to "solve" wants you to find that \(x=-4\) but \(x\) cannot be \(-4\) because
a) that would make the denominator zero and
b) there is NO SOLUTION

Answer 17

therefore they want you to behave like a robot and say "the solution is \(x=-4\) but it is "extraneous""

Answer 18

x = −4; extraneous
x = −4; non-extraneous
x = −8; extraneous
x = −8; non-extraneous
so out of these answer choices......its the first one?

Answer 19

@misty1212