Question

solve the following equation for x
1/x+1 + 2/x+2 = 5/x+4; x not equal to -1, -2, -4​

Answer 1

Answer:

x+2+2x+2/x²+3x+2=5/x+4

3x+4(x+4)=x²+3x+2(5)

3x²+16x+16=5x²+15x+10

0=2x²-x-6

0=2x²-4x+3x-6

0=2x(x-2)+3(x-2)

0=(2x+3)(x-2)

x=2,-3/2