Question

solve-
x-3/x-4 + x-5/x-6 =10/3​

Answer 1

Step-by-step explanation:

(x-3)/(x-4)+(x-5)/(x-6)=10/3

=>{(x-3)(x-6)+(x-5)(x-4)}/{(x-4)(x-6)=10/3

=>(x^2-6x-3x+18+x^2-4x-5x+20)/(x^2-6x-4x+24)=10/3

=>(2x^2-18x+38)/(x^2-10x+24)=10/3

=>3(2x^2-18x+38)=10(x^2-10x+24)

=>6x^2-54x+114=10x^2-100x+240

=> -4x^2-46x-126=0

=> -(4x^2+46x+126)=0

=>4x^2+46x+126=0

=> 4x^2+28x+18x+126=0

=>4x(x+7)+18(x+7)=0

=>(x+7) (4x+18)=0

x= -7 4x= -18

=>x= -18/4= -9/2

Answer 2

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