Question

can anyone solve this for me
1/(x - 2) + 2/(x - 1) = 6/x​

Answer 1

Answer:

s

Step-by-step explanation:

Answer 2

Answer:

x=4/3 or x=3

Step-by-step explanation:

1/x-2+2/x-1=6/x

Multiply all terms by (x-2)(x-1)(x) and cancel:

1(x−1)(x)+2(x−2)(x)=6(x−2)(x−1)

3x2−5x=6x2−18x+12(Simplify both sides of the equation)

3x2−5x−(6x2−18x+12)=6x2−18x+12−(6x2−18x+12)(Subtract 6x^2-18x+12 from both sides)

−3x2+13x−12=0

(−3x+4)(x−3)=0(Factor left side of equation)

−3x+4=0 or x−3=0(Set factors equal to 0)

x=4/3 or x=3

Check answers. (Plug them in to make sure they work.)

x=4/3(Works in original equation)

x=3(Works in original equation)