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Mathematics 12 Online
OpenStudy (anonymous):

2/3x-1 + 3/3x+1 = 4

jhonyy9 (jhonyy9):

first you need calcule the denominatoe common how many will be ?

jhonyy9 (jhonyy9):

so if 3x-1 and 3x+1 are there like denominators of those fractions the denominator common how many will be ?

jhonyy9 (jhonyy9):

multiply 3x-1 by 3x+1 and will get 9x2 -1 like denominator common

jhonyy9 (jhonyy9):

so than the first numerator you need multiply by 3x+1 and second numerator by 3x-1 than will get (2(3x+1)+3(3x-1))/(9x2 -1) =4(9x2 -1)/9x2 -1 6x+2+9x-3=36x2 -4 15x-1=36x2 -4 36x2 -15x -3 =0 divide both sides by 3 12x2 -5x -1=0

jhonyy9 (jhonyy9):

so can you solve this quadratic equation ?

jhonyy9 (jhonyy9):

so x1,2=(5+/- sqrt(25+48))/24 =(5+/- sqrt73)/24

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