Question

solve for x:-
please help me ​

Answer 1

Answer:

answer is solved

Step-by-step explanation:

i hope it'll help u

Answer 2

Answer:

hey here is your solution

pls mark it as brainliest

Step-by-step explanation:

$here \: given \: quadratic \: equation \: is \\ 2( \frac{x - 1}{2x + 1} ) {}^{2} \: - \: 5( \frac{x - 1}{2x + 1} ) = 12 \\ \\ so \: let \: then \\ \frac{x - 1}{2x + 1} = k \\ \\ resubstituting \: the \: value \: accordingly \\ we \: get \\ 2(k) {}^{2} - 5k = 12 \\ ie \: \: 2k {}^{2} - 5k - 12 = 0 \\ 2k {}^{2} - 8k + 3k - 12 = 0 \\ 2k(k - 4) + 3(k - 4) = 0 \\ \\ (k - 4)(2k + 3) = 0 \\ \\ ie \: k = 4 \: \: or \: \: k = \frac{ - 3}{2}$

$resubstituting \: value \: of \: k \: \\ firstly \: as \: 4 \\ we \: get \\ \frac{x - 1}{2x + 1} = 4 \\ \\ x - 1 = 4(2x + 1) \\ x - 1 = 8x + 8 \\ - 1 - 8 = 8x - x \\ 7x = - 9 \\ hence \: \: x = \frac{ - 9}{7}$

$now \: resubstituting \: value \: of \: k \: as \: \frac{ - 3}{2} \\ we \: get \\ \frac{x - 1}{2x + 1} = \frac{ - 3}{2} \\ \\ 2(x - 1) = - 3(2x + 1) \\ 2x - 2 = - 6x - 3 \\ 2x + 6x = - 3 + 2 \\ 8x = - 1 \\ \\ hence \: \: x = \frac{ - 1}{8}$