Question

Solve this equation please I am not able to get it

Answer 1

You Can Refer To the Above Picture !!

Hope It Helps You ❤️

Answer 2

Question :

• 3/(2x-1) + 4/(2x+1)=7/2x

Answer :

• x = 7/2

Step-by-step explanation:

Given that

• 3/(2x-1) + 4/(2x+1)=7/2x

We need to find out

• The value of x

Solution

$\\ \\ \blue{ \sf: \implies \frac{x}{(2x - 1)} + \frac{4}{(2x + 1)} = \frac{7}{2x} } \\ \\ \\ \\ \green{\sf: \implies \frac{3(2x - 1) + 4(2x + 1)}{ {(2x)}^{2} - 2x {1}^{2} } = \frac{7}{2x} } \\ \\ \\ \\ \green{\sf: \implies \frac{6x + 3 + 8x - 4}{ {(2x)}^{2} - {1}^{2} } = \frac{7}{2x} } \\ \\ \\ \\ \green{\sf: \implies \frac{6x + 8x + 3 - 4}{ {(2x)}^{2} - {1}^{2} } = \frac{7}{2x} } \\ \\ \\ \\ \green{\sf: \implies \frac{14x - 1}{ {(2x)}^{2} - {1}^{2} } = \frac{7}{2x} } \\ \\ \\ \\ \green{\sf: \implies \frac{14x - {1}^{} }{ {4x}^{2} - 1 } = \frac{7}{2x} } \\ \\ \\ \\ \underline{ \boldsymbol{ \maltese \: cross \: \: multiplying}} \\ \\ \\ \\ \green{\sf: \implies7( {4x}^{2} - 1) = 2x(14x -1 )} \\ \\ \\ \\ \green{\sf: \implies {28x}^{2} - 2x = {28x}^{2} - 7 } \\ \\ \\ \\ \underline{\maltese\textbf{ Canceling 28x² form both sides}}\\ \\ \\ \\ \orange{\sf: \implies \cancel{ {28x} }^{2} - 2x = \cancel{ {28x}}^{2} - 7} \\ \\ \\ \\ \orange{ \sf: \implies \: - 2x = - 7} \\ \\ \\ \\ \underline{ \maltese \textbf{Both (-)sing will get cancel }} \\ \\ \\ \\ \red{ \sf: \implies \: \cancel - 2x = \cancel - 7} \\ \\ \\ \\ \red{ \sf: \implies2x = 7} \\ \\ \\ \\ \pink{ \sf: \implies \underline{ \boxed{\frak{ x = \frac{7}{2} }}}}$