Question

(x -1 / x - 2) + (x-3 / x - 4) = 10 / 3​

Answer 1

Step-by-step explanation:

(x-1/x-2)+(x-3/x-4)=10/3

=>{(x-1)(x-4)+(x-3)(x-2)}/(x-2)(x-4)=10/3

=>{x^2-4x-x+4+x^2-2x-3x+6}/(x^2-4x-2x+8)=10/3

=>(2x^2-10x+10)/(x^2-6x+8)=10/3

=>3(2x^2-10x+10)=10(x^2-6x+8)

=>6x^2-30x+30=10x^2-60x+80

=> -4x^2+30x-50=0

=> -(4x^2-30x+50)=0

=>4x^2-30x+50=0

=>2x^2-15x+25=0

=>2x^2-10x-5x+25=0

=>2x(x-5)-5(x-5)=0

=>(x-5)(2x-5)=0

x=5 2x=5

x=5/2