Question

What is the solution to the rational equation 5 over x¨Csquared plus 3x plus 2 - 1 over x plus 2 = 1 over 3x plus 3 ?

x = 7

x = 5 over 2

x = 5

x = 4

Answer 1

can you draw the problem please ?

Answer 2

5 1 1
------------ - --------- = ---------
x^2 +3x +2 x +2 3x +3


this is correct ?

Answer 3

yes

Answer 4

so than

x^2 +3x +2 = (x +1)(x+2)
3x+3 = 3(x+1)

5 1 1
------------ - --------- = ---------
x^2 +3x +2 x +2 3x +3


5 1 1
---------- - ------- = --------
(x+1)(x+2) x+2 3(x+1)

so than the common denominator will be 3(x+1)(x+2)


3*5 - 3(x+1) = x+2

15 - 3x -3 = x+2

12 -3x = x+2

12 -2 = x +3x

10 = 4x

x = 10/4

x= 5/2

Answer 5

thanks :)

Answer 6

was my pleasure

yw

good luck