Solve the following quadratic equations by factorization:

$\frac{1}{x + 4} - \frac{1}{x - 7} = \frac{11}{30}, x \neq 4, 7$

Open in App

Solution

We have been given

Therefore,

or,

Hence, or .

Suggest Corrections

Similar questions

\frac{1}{(x + 4)} - \frac{1}{(x - 7)} = \frac{11}{30}, (x \neq - 4, 7)

\frac{1}{(x - 1) (x - 2)} + \frac{1}{(x - 2) (x - 3)} + \frac{1}{(x - 3) (x - 4)} = \frac{1}{6}

\frac{1}{x} - \frac{1}{x - 2} = 3, x \neq 0, 2

Solve the following quadratic equation by factorization.
$\frac{1}{x + 4} - \frac{1}{x - 7} = \frac{11}{30}, x \neq 4, 7$

10 x - \frac{1}{x} = 3

Join BYJU'S Learning Program