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anonymous
 one year ago
What is the solution to the rational equation x over x squared minus 9 plus 1 over x plus 3 equals 1 over 4x minus 12 ?
anonymous
 one year ago
What is the solution to the rational equation x over x squared minus 9 plus 1 over x plus 3 equals 1 over 4x minus 12 ?

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge\rm \frac{ x }{ x^29}+\frac{ 1 }{ x+3}=\frac{ 1 }{ 4x12 }\] like this ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1alright first solve left side apply difference of square method to factor x^29 \[\rm a^2b^2=(a+b)(ab)\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1take square of both terms write ur answer as (sqrt of 1st term + sqrt of 2nd term) (sqrt of 1st term  sqrt of 2nd term) here is an example \[\rm x^216=(x+4)(x4)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x = 9 over 7 x = 15 x = 15 over 7 x = 9

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0these are the answers i have

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1ok. so what are the factors of x^29 ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1hmm not what is the square root of 9 ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right so it should be (x3)(x+3)

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge\rm \frac{ x }{ (x3)(x+3)}+\frac{ 1 }{ x+3}=\frac{ 1 }{ 4x12 }\] now find common denominator what is the common denominator at left side ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1no.. common denominator\[\huge\rm \frac{ x }{ \color{Red}{(x3)(x+3)}}+\frac{ 1 }{\color{Red}{ x+3}}=\frac{ 1 }{ 4x12 }\] just look at red part what is common ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1its not just 3 (x3) is one term so x+3 is common

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1.. \[\huge\rm \frac{ x }{ \color{Red}{(x3)(x+3)}}+\frac{ 1 }{\color{Red}{ x+3}}=\frac{ 1 }{ 4x12 }\] \[\huge\rm \frac{ x +1(x3)}{ (x3)(x+3) }\] when you find common denominator you should multiply `numerator` of `1st` fraction by the `denominator` of `2nd` fraction and multiply numerator of `2nd` fraction by the denomiantor of 1st fraction

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 9 }{ 7 }\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1combine like terms .. \[\huge\rm \frac{ x +1x3}{ (x3)(x+3) }\] x+1x3= ??

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1what are `like terms` in this equation x+x3 ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right so combine them x+x = ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1no when you multiply same bases then you should add their exponents no just add the coefficient 1x+1x=(1+1)x = ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1okay so here we need to `combine` x+x which is same as 1x+1x one is invisible we here is an example 3y+5y = (3+5)y = 8y just add the coefficient \[\rm x \times x=x^2\] when you multiply them `then` you should add their exponents

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440353412609:dw leading coefficient a number front of the variable

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1add their coefficient \[1x+1x=(1+1)x= ??x\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right .. \[\huge\rm \frac{ x }{ \color{Red}{(x3)(x+3)}}+\frac{ 1 }{\color{Red}{ x+3}}=\frac{ 1 }{ 4x12 }\] \[\huge\rm \frac{ 2x3}{ (x3)(x+3) }=\frac{1}{4x12}\] now foil this (x3)(x+3) are you familiar with the foil method ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x = 9 is this right?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1no... show ur work so i'll look ovr to find mistakes :=)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0idk i dont understand

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1so you don't know how to foil two parentheses ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right which is same as x^29 \[\frac{ 2x3 }{ x^29 }=\frac{ 1 }{ 4x+12 }\]now cross multiply
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