The equation x - 7/(x - 3) = 3 - 7/(x - 3) has A) no roots B) infini

1.	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» 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. Correct option is A) no roots

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»

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.

Correct option is A) no roots