Login

Solvethe equation 1/3-2x+1/5+2x=1/2

Dear student,

A s s u m i n g t h e q u e s t i o n i s \frac{1}{3 - 2 x} + \frac{1}{5 + 2 x} = \frac{1}{2} a n d s o l v i n g f u r t h e r \frac{1}{3 - 2 x} + \frac{1}{5 + 2 x} = \frac{1}{2} \Rightarrow \frac{5 + 2 x + 3 - 2 x}{(3 - 2 x) (5 + 2 x)} = \frac{1}{2} \Rightarrow 8 \times 2 = (3 - 2 x) (5 + 2 x) \Rightarrow 16 = 3 (5 + 2 x) - 2 x (5 + 2 x) \Rightarrow 16 = 15 + 6 x - 10 x - 4 x^{2} \Rightarrow 16 - 15 = - 4 x - 4 x^{2} \Rightarrow 1 = - 4 x - 4 x^{2} \Rightarrow 4 x^{2} + 4 x + 1 = 0 \Rightarrow 4 x^{2} + 2 x + 2 x + 1 = 0 \Rightarrow 2 x (2 x + 1) + 1 (2 x + 1) = 0 \Rightarrow (2 x + 1) (2 x + 1) = 0 \Rightarrow x = - \frac{1}{2}, - \frac{1}{2}

Regards

0

View Full Answer

Copyright © 2024 Aakash EduTech Pvt. Ltd. All rights reserved.

Aakash EduTech Pvt. Ltd.

What are you looking for?