Question

For the following equations, enter U if the equation has a unique solution, N if it has no solution, and I if it has infinitely many solutions.

4x+9=6
6x+4=6x+9
(1/(4x+9))=(1/(9x+6))
(1/(4x+9))=(2/(4x+9))
(x+4)(x+9)=x^2+13x+36
2(4x+9)=8x+18

Answer 1

hint :-
when x have value then there is unique solution (either real or complex)
when x eliminate in the question then there is no solution
when u have value like 0=0 or x=x ... ect then there is infinity many solution

Answer 2

so is it U,N,U,N,U,U? @Halmos

Answer 3

haha you need to think about the last two equations

Answer 4

@Halmos isnt it unique because there is a solution? or is it not because x isnt identified

Answer 5

Never mind I got it, thank you!

Answer 6

haha wait what did u got ?

Answer 7

sorry was away a bit

Answer 8

2(4x+9)=8x+18
8x+18=8x+18
so look at both they are like
0=0 so infinitely many solution same with this
(x+4)(x+9)=x^2+13x+36