Solve the following quadratic equations by factorization-1 x-1 x-2-1 x-2 x-3-1 x-3 x-4-16

You visited us 4 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Quadratic Polynomial

Solve the fol...

Question

Solve the following quadratic equations by factorization:

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

Open in App

Solution

We have been given,

Therefore,

or,

Hence, or .

Suggest Corrections

Similar questions

Q. Solve the following quadratic equations by factorization:

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

Q. Solve the following quadratic equations by factorization:

\frac{x + 1}{x - 1} + \frac{x - 2}{x + 2} = 4 - \frac{2 x + 3}{x - 2}; x \neq 1, - 2, 2

Q. Solve the following quadratic equations by factorization:

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

Solve the following quadratic equation by factorization.
$\frac{1}{(x - 1) (x - 2)} + \frac{1}{(x - 2) (x - 3)} + \frac{1}{(x - 3) (x - 4)} = \frac{1}{6}$

Q. Solve the following quadratic equations by factorization:

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

Join BYJU'S Learning Program

Solve the following quadratic equations by factorization: 1x-1 x-2+1x-2 x-3+1x-3 x-4=16

We have been given, Therefore, or, Hence, or .

Solve the following quadratic equations by factorization:

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

We have been given,

Therefore,

or,

Hence, or .