Solve-22 x-3 i x-3-25x-312 x-3-5

Find : the value of x = gt; 2( (2x +3)/(x 3)) 25( (x 3)/ (2x +3) )=5 = gt; [2 (2x +3)2 25 (x 3)2 ] / ((x 3) (2x +3)) = 5 taking LCM = gt; 2 (2x +3 ...

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

Byju's Answer

Standard VII

Mathematics

Solution of Inequations

Solve-22 x+3 ...

Question

Solve-
2(2x+3\x-3)-25(x-3\2x+3)=5

Open in App

Solution

find : the value of x

=> 2( (2x +3)/(x-3)) - 25( (x-3)/ (2x +3) )=5
=> [2 (2x +3)² - 25 (x-3)² ] / ((x-3) (2x +3)) = 5 {taking LCM}
=> 2 (2x +3)² - 25 (x-3)²= 5 (x-3) (2x +3)
=> 2( 4x² + 9+12x) - 25(x² + 9 - 6x) = 5(2x² +3x-6x -9)
=> 8x² + 18 + 24x -25x² -225+150x = 10x² -15x -45
=> -17x² +174x - 207 = 10x² -15x -45
=> -27x² + 189 x -162 =0
=> 27x² - 189 x + 162 =0
=> x² -7x +6 =0
=> x² -6x -x +6 =0
=> x (x-6) -1 (x-6) =0
=> (x-1) (x-6) =0
therefore the values of x are 1,6 Answer

Suggest Corrections

Similar questions

Q. Solve for

x, 2 (\frac{2 x + 3}{x - 3}) - 25 (\frac{x - 3}{2 x + 3}) = 5

2 (\frac{2 x + 3}{x - 3}) - 25 (\frac{x - 3}{2 x + 3}) = 5

. Solve for

x

. Write nature of roots.

Q. Solve for x 2(2x-1\x+3)-3(x+3\2x-1)=5

Q. Solve of

x

2 (\frac{2 x - 1}{x + 3}) - 3 (\frac{x + 3}{2 x - 1}) = 5

Q. Solve:

2 (\frac{2 x - 1}{x + 3}) - 3 (\frac{x + 3}{2 x - 1}) = 5, x \neq - 3, \frac{1}{2} .

Join BYJU'S Learning Program

Solve- 2(2x+3\x-3)-25(x-3\2x+3)=5

Solve-
2(2x+3\x-3)-25(x-3\2x+3)=5