whats the answer to 5/12(x+2)=2/3(2x+1)+1/6

i need help working this.... whats the answer to 5/12(x+2)=2/3(2x+1)+1/6
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1 Answer

Assuming x terms are in the denominators:

Multiply through by 12(x+2)(2x+1):

5(2x+1)=8(x+2)+2(x+2)(2x+1)

10x+5=8x+16+2(2x^2+5x+2)=8x+16+4x^2+10x+4=4x^2+18x+20

4x^2+8x+15=0 has complex solutions: x=(-8+sqrt(64-240)/8=(-8+sqrt(-176))/8=(-8+4isqrt(11))/8=(-2+isqrt(11))/2.

Now, assume x terms are in the numerators:

Multiply through by 12:

5(x+2)=8(2x+1)+2; 5x+10=16x+10; 5x=16x, 11x=0, so x=0.

CHECK: 5*2/12=5/6=2/3+1/6=5/6. OK.

 

by Top Rated User (1.2m points)

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