MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Formation of Algebraic Expressions

Solve the fol...

Question

Solve the following equation:
$\sqrt{\frac{2 x + 1}{x - 1}} - 2 \sqrt{\frac{x - 1}{2 x + 1}} = 1$

Open in App

Solution

$\sqrt{\frac{2 x + 1}{x - 1}} b e t t - \frac{2}{t} = 1 t^{2} - t - 2 = 0 (t - 2) (t - 1) = 0 t = - 1, 2 \sqrt{\frac{2 x + 1}{x - 1}} = - 1 \frac{2 x + 1}{x - 1} = 1 2 x + 1 = x - 1 x = - 2 \sqrt{\frac{2 x + 1}{x - 1}} = 2 \frac{2 x + 1}{x - 1} = 4 2 x + 1 = 4 x - 4 x = \frac{5}{2}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Solve the following equation:

\sqrt{\frac{2 x}{x + 1}} - \sqrt{\frac{2 (x + 1)}{x}} = 1

Q. Solve the following equation:

\sqrt{x^{2} - 2 x + 1} + \sqrt{x^{2} + 2 x + 1} = 2

Q. Solve the following quadratic equation by factorization, the root is :

- 1

1

\frac{x - 1}{2 x + 1} + \frac{2 x + 1}{x - 1} = \frac{5}{2}, x \neq - \frac{1}{2}, 1

Q. Solve the following equation:

\frac{1 + \sqrt{2 x + 1}}{x} = 1

Q. Solve the following equation:

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

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Formation of Algebraic Expressions

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Formation of Algebraic Expressions

Standard VI Mathematics

Join BYJU'S Learning Program

CrossIcon