Question

The equation x - 7/(x - 3) = 3 - 7/(x - 3) has 

A) no roots 

B) infinitely many roots 

C) one integral root 

D) two real roots

Answer 1

Correct option is (A) no roots

Given equation is \(x-\frac{7}{x-3}=3-\frac{7}{x-3}\)

\(\Rightarrow\) \(x=3-\frac{7}{x-3}+\frac{7}{x-3}\)

\(\Rightarrow\) x = 3

But \(x\neq3\) as \(\frac{7}{x-3}\) is a rational term present in given equation.

\(\therefore\) Given equation has no roots.

Answer 2

Correct option is A) no roots