Question

Solve the equation: $\frac{4x}{x-2}-\frac{3x}{x-1}=7\frac{1}{2}$

• A. $x=0,\frac{10}{13}$
• B. $x=3,\frac{10}{13}$
• C. $x=3,-\frac{1}{13}$
• D. $Noneofthese$

Answer 1

Answer: (B)

$x=3,\frac{10}{13}$

According to question,

$\frac{4x}{x-2}-\frac{3x}{x-1}=7\frac{1}{2}$

$⟹\frac{4x(x-1)-3x(x-2)}{(x-2)(x-1)}=\frac{15}{2}$

$⟹\frac{x^2+2x}{x^2-3x+2}=\frac{15}{2}$

$⟹2x^2+4x=15x^2-45x+30$

$⟹13x^2-49x+30=0$

Solving this Quadratic , we get

$x=3,\frac{10}{13}$